[PEIRCE-L] "semantics is not semiotic"
List, At Gary R.'s urging, I have overcome my initial inclination to desist from responding, so as "to avoid prolonging the debate" (Gary R.'s words) over my post on the Second Amendment, but will focus only on Tom's phrase "semantics is not semiotic." It's not clear to me what he meant by that, but it may be worth considering the difference in nomenclature, particularly as it bears on some staples of Peirce's pragmatism (as I mentioned fleetingly at the end of my post). Semiotic is all encompassing because its domain is semiosis, whereas semantics is restricted to meaning in human language. Since language is the "passkey semiotic" (Louis Hjelmslev's words), we naturally use words to describe and analyze both domains. All linguistic meaning is uniformly semiotic (adj.). In the clause of the Second Amendment at issue, the importance of element order is paramount. This syntactic feature illustrates two strictly related things simultaneously: (1) syntax may be paradigmatic in other respects, but in the respect concerned it is syntagmatic, i. e., concerns itself with the sequential order of the paradigmatic elements in sentences; and, as a consequence, (2) the order is hierarchical––a rank order––just as one expects from the global meaning of the concept of order. All of this is by way of both implying and asserting, to differing degrees, that there is no semiosis without the ordering of the elements of any sign action (including thought). This is true of simultaneous syntagms (like phonemes) as well as sequential ones (like phrases, clauses, sentences, etc.) And this is where, I think, Peircean ideas of semiosis in the context of his pragmaticism come in. The fact of differing interpretations of the wording of the Second Amendment is an illustration of both the subjunctive meaning and of the conditional directionality inherent in the semiosis that is figured by the words and the action they lead to pragmaticistically. Michael - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm .
[PEIRCE-L] Re: Element Order and the Grammar of the Second Amendment
Edwina, List, We all know and love our written constitutions, if and when we can keep them, but intelligent interpretation requires intelligent interpreters -- thus the critical role of research, scholarship, and universal free public education in sustaining democratic rule -- and Socrates' warning about what we might now call the "poverty of the symbolic stimulus" applies here as elsewhere. Regards, Jon On 10/4/2015 11:17 AM, Edwina Taborsky wrote: There may not be a linguistic SOLUTION to how a rational society 'ought' to govern itself, but there most certainly has to be a linguistic EXPRESSION of that governance. Otherwise, the rules of order within the society would operate by whim. Language, for our species, expresses not only our individual whims but also our collective rules. To prove, to ourselves and others, that they are our collective rules, we have our legislature pass them and our authority sign them. Edwina - Original Message - From: "Jon Awbrey"To: "Michael Shapiro" ; "CSP" Sent: Sunday, October 04, 2015 10:20 AM Subject: [PEIRCE-L] Re: Element Order and the Grammar of the Second Amendment Michael, List, Here is one of several recent articles I remember reading on the historical context of the second amendment: http://www.truth-out.org/news/item/13890-the-second-amendment-was-ratified-to-preserve-slavery I seriously doubt if there's a linguistic solution to the political problem of how a rational society ought to govern itself. Regards, Jon -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ inquiry list: http://stderr.org/pipermail/inquiry/ isw: http://intersci.ss.uci.edu/wiki/index.php/JLA oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm .
[PEIRCE-L] Re: Element Order and the Grammar of the Second Amendment
Michael, List, Here's another survey article on the history and interpretation of the second amendment: http://www.nybooks.com/articles/archives/1995/sep/21/to-keep-and-bear-arms/ Just by way of one observation, it appears characteristic of recent readings to ignore the "well-regulated" condition. Regards, Jon -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ inquiry list: http://stderr.org/pipermail/inquiry/ isw: http://intersci.ss.uci.edu/wiki/index.php/JLA oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm .
Re: [PEIRCE-L] "semantics is not semiotic"
Michael, I'll quibble with your analysis of: “A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed.” If I understand you correctly, you parse the above sentence as beginning with an assertion, a conclusion - [but your sentence provides us with no reason for such a conclusion] - and you put the second half of the sentence as subordinate to the first and view it only as a description of the Subject of the Assertion (Militia). I'll parse it as the opposite: the second half is the Conclusion - and the first half is the subordinate reason. That is, the sentence, in my outline provides both a conclusion and a reason and I don't, in my parsing, describe the term 'militia'. Assertion/Conclusion: The right of the people to bear arms Reason why: a militia is necessary to maintain a free state. Note - in my outline none of the key terms are described: militia, people, free state. In your outline, the full sentence describes the term 'militia'. Do you see the difference? Your parsing of the sentence provides us with no reason for 'a militia'. Surely the sentence-writer couldn't have simply been declaring - in an Amendment - that a sovereign state requires an army! That's trivial and hardly requires an Amendment. Instead, if one parses it as Reason-Conclusion, rather than only a Conclusion with a description of the term 'militia', a meaning quite different from the one you derive comes up. Edwina - Original Message - From: Michael Shapiro To: CSP Sent: Sunday, October 04, 2015 6:24 AM Subject: [PEIRCE-L] "semantics is not semiotic" List, At Gary R.'s urging, I have overcome my initial inclination to desist from responding, so as "to avoid prolonging the debate" (Gary R.'s words) over my post on the Second Amendment, but will focus only on Tom's phrase "semantics is not semiotic." It's not clear to me what he meant by that, but it may be worth considering the difference in nomenclature, particularly as it bears on some staples of Peirce's pragmatism (as I mentioned fleetingly at the end of my post). Semiotic is all encompassing because its domain is semiosis, whereas semantics is restricted to meaning in human language. Since language is the "passkey semiotic" (Louis Hjelmslev's words), we naturally use words to describe and analyze both domains. All linguistic meaning is uniformly semiotic (adj.). In the clause of the Second Amendment at issue, the importance of element order is paramount. This syntactic feature illustrates two strictly related things simultaneously: (1) syntax may be paradigmatic in other respects, but in the respect concerned it is syntagmatic, i. e., concerns itself with the sequential order of the paradigmatic elements in sentences; and, as a consequence, (2) the order is hierarchical––a rank order––just as one expects from the global meaning of the concept of order. All of this is by way of both implying and asserting, to differing degrees, that there is no semiosis without the ordering of the elements of any sign action (including thought). This is true of simultaneous syntagms (like phonemes) as well as sequential ones (like phrases, clauses, sentences, etc.) And this is where, I think, Peircean ideas of semiosis in the context of his pragmaticism come in. The fact of differing interpretations of the wording of the Second Amendment is an illustration of both the subjunctive meaning and of the conditional directionality inherent in the semiosis that is figured by the words and the action they lead to pragmaticistically. Michael -- - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm . - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm .
[PEIRCE-L] Re: Element Order and the Grammar of the Second Amendment
Michael, List, Here is one of several recent articles I remember reading on the historical context of the second amendment: http://www.truth-out.org/news/item/13890-the-second-amendment-was-ratified-to-preserve-slavery I seriously doubt if there's a linguistic solution to the political problem of how a rational society ought to govern itself. Regards, Jon -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ inquiry list: http://stderr.org/pipermail/inquiry/ isw: http://intersci.ss.uci.edu/wiki/index.php/JLA oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm .
Re: [PEIRCE-L] Re: Element Order and the Grammar of the Second Amendment
Jon - I took a quick look at this article. It is not a scholarly or academic article but rejects opposing views (the article considers that the 2nd Amendment refers only to a government-sanctioned force) by means of personal invective, ad hominem (focusing on the personalities of the authors vs the rational analysis of the issue) and bias. I'm not going to argue for or against the Second Amendment but am referring strictly to how one interprets its sentential meaning - which includes not only key terms such as 'militia', 'people' , 'free state'' but also a focus on a reason-conclusion format. As for 'militia' being comparable to an 'army' - that seems dealt with in the Constitution (which was written before the Amendment) Article I, Section 8, which refers not only to Armies but also to the 'Militia' -i.e,, they are not the same. And Article III, Section 3, refers to treason - which consists in 'levying war' against the United States. Now - can an insurrection against a government which has become corrupted into tyranny be defined as treason against the state? That is - the Constitution refers to collective governance. The Amendments refer to individual freedoms. I think this is an important point and might help in examining/interpreting the sentence. Edwina - Original Message - From: "Jon Awbrey"To: "Michael Shapiro" ; "CSP" Sent: Sunday, October 04, 2015 10:56 AM Subject: [PEIRCE-L] Re: Element Order and the Grammar of the Second Amendment Michael, List, Here's another survey article on the history and interpretation of the second amendment: http://www.nybooks.com/articles/archives/1995/sep/21/to-keep-and-bear-arms/ Just by way of one observation, it appears characteristic of recent readings to ignore the "well-regulated" condition. Regards, Jon -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ inquiry list: http://stderr.org/pipermail/inquiry/ isw: http://intersci.ss.uci.edu/wiki/index.php/JLA oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm . - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm .
[PEIRCE-L] Re: Element Order and the Grammar of the Second Amendment
Jon- I've no idea of the point of your comment. You wrote: "I seriously doubt if there's a linguistic solution to the political problem of how a rational society ought to govern itself." My comment to you was to critique your rejection of a 'linguistic solution' - and I referred instead to the necessity for a 'linguistic expression' - I said nothing about their interpretation. That's the role of the courts and has nothing to do with Socrates or 'symbolic stimuli'. Edwina - Original Message - From: "Jon Awbrey"To: "Edwina Taborsky" ; "Michael Shapiro" ; "CSP" Sent: Sunday, October 04, 2015 11:30 AM Subject: Re: Element Order and the Grammar of the Second Amendment Edwina, List, We all know and love our written constitutions, if and when we can keep them, but intelligent interpretation requires intelligent interpreters -- thus the critical role of research, scholarship, and universal free public education in sustaining democratic rule -- and Socrates' warning about what we might now call the "poverty of the symbolic stimulus" applies here as elsewhere. Regards, Jon On 10/4/2015 11:17 AM, Edwina Taborsky wrote: There may not be a linguistic SOLUTION to how a rational society 'ought' to govern itself, but there most certainly has to be a linguistic EXPRESSION of that governance. Otherwise, the rules of order within the society would operate by whim. Language, for our species, expresses not only our individual whims but also our collective rules. To prove, to ourselves and others, that they are our collective rules, we have our legislature pass them and our authority sign them. Edwina - Original Message - From: "Jon Awbrey" To: "Michael Shapiro" ; "CSP" Sent: Sunday, October 04, 2015 10:20 AM Subject: [PEIRCE-L] Re: Element Order and the Grammar of the Second Amendment Michael, List, Here is one of several recent articles I remember reading on the historical context of the second amendment: http://www.truth-out.org/news/item/13890-the-second-amendment-was-ratified-to-preserve-slavery I seriously doubt if there's a linguistic solution to the political problem of how a rational society ought to govern itself. Regards, Jon -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ inquiry list: http://stderr.org/pipermail/inquiry/ isw: http://intersci.ss.uci.edu/wiki/index.php/JLA oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm .
Re: [PEIRCE-L] "semantics is not semiotic"
Here's an example of my parsing of the amendment into: Reason-Conclusion, rather than Michael's: Conclusion-Despcription of one key term. "An infrastructure of authority is necessary for a free State, the right of the people to debate and pass laws shall not be infringed. Again, the second half is the conclusion, and the first half provides the reason for that conclusion. But, again, there is no description of 'how' this agenda will be carried out. Edwina - Original Message - From: Edwina Taborsky To: Michael Shapiro ; CSP Sent: Sunday, October 04, 2015 9:32 AM Subject: Re: [PEIRCE-L] "semantics is not semiotic" Michael, I'll quibble with your analysis of: “A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed.” If I understand you correctly, you parse the above sentence as beginning with an assertion, a conclusion - [but your sentence provides us with no reason for such a conclusion] - and you put the second half of the sentence as subordinate to the first and view it only as a description of the Subject of the Assertion (Militia). I'll parse it as the opposite: the second half is the Conclusion - and the first half is the subordinate reason. That is, the sentence, in my outline provides both a conclusion and a reason and I don't, in my parsing, describe the term 'militia'. Assertion/Conclusion: The right of the people to bear arms Reason why: a militia is necessary to maintain a free state. Note - in my outline none of the key terms are described: militia, people, free state. In your outline, the full sentence describes the term 'militia'. Do you see the difference? Your parsing of the sentence provides us with no reason for 'a militia'. Surely the sentence-writer couldn't have simply been declaring - in an Amendment - that a sovereign state requires an army! That's trivial and hardly requires an Amendment. Instead, if one parses it as Reason-Conclusion, rather than only a Conclusion with a description of the term 'militia', a meaning quite different from the one you derive comes up. Edwina - Original Message - From: Michael Shapiro To: CSP Sent: Sunday, October 04, 2015 6:24 AM Subject: [PEIRCE-L] "semantics is not semiotic" List, At Gary R.'s urging, I have overcome my initial inclination to desist from responding, so as "to avoid prolonging the debate" (Gary R.'s words) over my post on the Second Amendment, but will focus only on Tom's phrase "semantics is not semiotic." It's not clear to me what he meant by that, but it may be worth considering the difference in nomenclature, particularly as it bears on some staples of Peirce's pragmatism (as I mentioned fleetingly at the end of my post). Semiotic is all encompassing because its domain is semiosis, whereas semantics is restricted to meaning in human language. Since language is the "passkey semiotic" (Louis Hjelmslev's words), we naturally use words to describe and analyze both domains. All linguistic meaning is uniformly semiotic (adj.). In the clause of the Second Amendment at issue, the importance of element order is paramount. This syntactic feature illustrates two strictly related things simultaneously: (1) syntax may be paradigmatic in other respects, but in the respect concerned it is syntagmatic, i. e., concerns itself with the sequential order of the paradigmatic elements in sentences; and, as a consequence, (2) the order is hierarchical––a rank order––just as one expects from the global meaning of the concept of order. All of this is by way of both implying and asserting, to differing degrees, that there is no semiosis without the ordering of the elements of any sign action (including thought). This is true of simultaneous syntagms (like phonemes) as well as sequential ones (like phrases, clauses, sentences, etc.) And this is where, I think, Peircean ideas of semiosis in the context of his pragmaticism come in. The fact of differing interpretations of the wording of the Second Amendment is an illustration of both the subjunctive meaning and of the conditional directionality inherent in the semiosis that is figured by the words and the action they lead to pragmaticistically. Michael - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm . --
Re: [PEIRCE-L] Re: Element Order and the Grammar of the Second Amendment
There may not be a linguistic SOLUTION to how a rational society 'ought' to govern itself, but there most certainly has to be a linguistic EXPRESSION of that governance. Otherwise, the rules of order within the society would operate by whim. Language, for our species, expresses not only our individual whims but also our collective rules. To prove, to ourselves and others, that they are our collective rules, we have our legislature pass them and our authority sign them. Edwina - Original Message - From: "Jon Awbrey"To: "Michael Shapiro" ; "CSP" Sent: Sunday, October 04, 2015 10:20 AM Subject: [PEIRCE-L] Re: Element Order and the Grammar of the Second Amendment Michael, List, Here is one of several recent articles I remember reading on the historical context of the second amendment: http://www.truth-out.org/news/item/13890-the-second-amendment-was-ratified-to-preserve-slavery I seriously doubt if there's a linguistic solution to the political problem of how a rational society ought to govern itself. Regards, Jon -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ inquiry list: http://stderr.org/pipermail/inquiry/ isw: http://intersci.ss.uci.edu/wiki/index.php/JLA oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm . - PEIRCE-L subscribers: Click on "Reply List" or "Reply All" to REPLY ON PEIRCE-L to this message. PEIRCE-L posts should go to peirce-L@list.iupui.edu . To UNSUBSCRIBE, send a message not to PEIRCE-L but to l...@list.iupui.edu with the line "UNSubscribe PEIRCE-L" in the BODY of the message. More at http://www.cspeirce.com/peirce-l/peirce-l.htm .
[PEIRCE-L] Re: [Fwd: Burgin’s Fundamental Triads as Peirceasn Signs.]
Hi Mark, I just ran into this old email where you asked: "For instance, when an individual speaks or e-mails to another individual, it is a fundamental triad but I don't know how to interpret this system as a Peircean sign." I do not remember answering this question. In any case, here is my current answer: The communication between two individuals, A and B, involves the Peircean triad (also called the Peircean sign): fg A > Message ---> B (Utterer) (Sign) (Hearer) | ^ | | |_| h Figure 1. Communication between two individuals involves the Peircean triad, also called the Peircean sign. Figure 1 is a commutative triangle, or a mathematical category, since f x g = h, i.e., f followed by g leads to the same result as h. f = encoding; g = decoding; h = information transfer. So we may conclude that your fundamental triad and the Peircean sign are two different names (or representamens) for the same object, i.e., *the basic unit of communication.* All the best. Sung On Tue, Jul 15, 2014 at 8:59 PM, Burgin, Markwrote: > Dear Sung, > I was out of town and only now read your interesting e-mail. You found a > challenging connection between a Peircean sign and a fundamental triad. You > are a very creative person. What you suggest is a possible interpretation. > However, in general, a Peircean sign consists of three fundamental triads. > Besides, fundamental triad has more interpretations than a Peircean sign . > For instance, when an individual speaks or e-mails to another individual, > it is a fundamental triad but I don't know how to interpret this system as > a Peircean sign. > > Sincerely, >Mark > > On 7/5/2014 2:37 PM, Sungchul Ji wrote: > >> Dear Mark, >> >> I just sent off this email to semioticians. Please let me know if you >> have any comments or corrections. >> >> With all the best. >> >> Sung >> >> Original Message >> Subject: Burgin’s Fundamental Triads as Peirceasn Signs. >> From:"Sungchul Ji" >> Date:Sat, July 5, 2014 5:33 pm >> To: biosemiot...@lists.ut.ee >> -- >> >> (Undistorted figures are attached.) >> >> Stephen R on the Peirce list cited Peirce as saying: >> >> "The undertaking which this volume inaugurates is to (070514-1) >> make a philosophy like that of Aristotle, that is to say, to >> outline a theory so comprehensive that, for a long time to >> come, the entire work of human reason, in philosophy of >> every school and kind, in mathematics, in psychology, >> in physical science, in history, in sociology, and in >> whatever other department there may be, shall appear >> as the filling up of its details. The first step toward >> this is to find simple concepts applicable to every >> subject." >> >> >> At least one of the potential "simple concepts" that Peirce is referring >> to above may turn out to be his concept of "irreducible triadicity" >> embedded in the following quote that Jon recently posted and further >> explained in Figure 1 and (070514-4): >> >> >> “Logic will here be defined as formal semiotic. (070514-2) >> A definition of a sign will be given which no more >> refers to human thought than does the definition of >> a line as the place which a particle occupies, part >> by part, during a lapse of time. Namely, a sign is >> something, A, which brings something, B, its interpretant >> sign determined or created by it, into the same sort >> of correspondence with something, C, its object, as >> that in which itself stands to C. It is from this >> definition, together with a definition of “formal”, >> that I deduce mathematically the principles of logic. >> I also make a historical review of all the definitions >> and conceptions of logic, and show, not merely that my >> definition is no novelty, but that my non-psychological >> conception of logic has virtually been quite generally >> held, though not generally recognized.” (NEM 4, 20–21). >> >> >>ab >> C > A > B >> | ^ >> | | >> |___| >> c >> >> Figure 1. A diagrammatic representation of the principle of irreducible >> triadicity as applied to the definition of a sign. A = sign; B = >> interpretant; and C = object. a = the sign-object relation (which can be >> iconic, indexical or symbolic); b = the sign-interpretant relation (which >> can be rheme, dicisign or argument);
Re: [PEIRCE-L] Peirce and Practopoiesis: now I understand it better
Danko, lists, (*1*) I finally completed reading Danko's amazing paper on "practopoiesis" (or 'making actions'), his theory of the mind-body relation. I am not a mind-body researcher, but my impression, as a theoretical cell biologist, is that Danko's theory of mind may be close to truth. This impression is based on my finding that practopoiesis can be viewed as a member of the ur-category (see Figure 1 below) along with other fundamental semiotic processes (see Figures 2 through 6), including self-organizing chemical reactions, enzyme catalysis, and gene expression, all of which being essential for practopoiesis (but only the last process was explicitly mentioned in [1]). I tried to arrange these semiotic processes in the order of increasing *complexity *(defined as the number of bits required to describe a process completely) resulting in the following five-node series: *Chemical reactions -> Enzyme catalysis -> Gene expression -> Practopoiesis --> Semiosis* *Figure 1. *The five levels of semiosis, from *molecules* to *mind*, that underlie the mind-body relation. Semiosis includes the macrosemiosis of the Peircean semiotics and the microsemiosis investigated in biosemiotics [2]. The symbol *A -> B* in Figure 1 can be read in more than one ways (i.e., has more than one meanings): 1) A is the *necessary *(but *not sufficient*) condition for B. 2) A precedes B ontologically. 3) B is the emergent property of A; or B emerges from A. 4) B is *enabled* by A. 5) B is determined by A and the environmental condition. 6) "A -->" symbolizes the combination of the system and its environment, previously referred to as the "*systome*" [3; see also Appendix II]. (*2*) The key point of this post is the suggestion that all the nodes in Figure 1, including practopoiesis, embody (or are instantiations of) the ur-category depicted in Figure 2 below. This diagram is in turn a geometric representation of *ITR* (Irreducible Triadic Relation) that has been found to apply to natural sciences, human sciences, and mathematics [4]. The value of the parameters, A, B, C, f, g, and h, are determined by the nature of the domain of the human knowledge to which the ITR template/framework is applied. fg A -> C ---> B | ^ || |__| h Figure 2. *The Ur-Category.* A diagrammatic representation of the ur-category, i.e., the category to which all categories belong. The* commutativity condition *of the category theory is satisfied (which is denoted as f x g = h), if the operation f followed by operation g leads to the same result as operation h [5, 6]. The 3-node diagram satisfying the commutativity condition is also called a “commutative triangle” in category theory. The ur-category embodies the *Irreducible Triadic Relation* (ITR) that is intrinsic to the definition of the sign given by Peirce (see Figure 2). (Hence I think we can regard Peirce as the originator of ITR.) So, the terms, *mathematical category*, *commutative triangle*, *Peircean sign*, and *ITR* are more or less synonymous. (*3)* It may be that one of the the simplest material processes that embodies ITR is the Belousov-Zhabotinsky (BZ) reaction extensively studied in chemistry since its discovery in Russia in the 1950's. In the [PEIRCE-L] post dated 4/12/2015 and partially reproduced below, I suggested the following identification of the components of the ITR in BZ reaction. For a more detailed explanation of the symbols appearing Figure 3, see *Appendix I.* f g ( A + B) ---> (X + Y) ---> (D + E) | ^ | | |___| h Figure 3. * Self-Organizing Chemical Reactions (SOCR).* The Brusselator as a prototypical SOCR is a commutative triangle, embodies ITR and performs semiosis at the molecular level. A, B = reactants; X, Y = transient intermediates; C, D = products; f = production step, g = destruction step, h = information flow (i.e., the molecular structures of E and E are determined by those of A and B mediated by X and Y). (*4*) The example of ITR that follows the non-enzymic BZ reaction in complexity is suggested to be the enzyme-catalyzed chemical reaction [7]: f g Amino Acid Sequence > *Conforms* -> Catalysis | ^ | |