Jerry,

You're attempting to discuss apples and oranges here. Here are the basics
as given in the syllabus for a first course in logic:



*Introduction to LogicTruth, Validity, and Soundness*
I. Truth, Validity, and Soundness: probably the three most important
concepts of the course.
A. First, let us briefly characterize these concepts.
1*. truth*: a property of statements, *i.e*., that they are the case.
2. *validity*: a property of arguments, *i.e*., that they have a good
structure.
(The premisses and conclusion are so related that it is absolutely
impossible for the premisses to be true unless the conclusion is true also.)
3. *soundness*: a property of both arguments and the statements in them,
*i.e*., the argument is valid and all the statement are true.
*Sound Argument*: (1) valid, (2) true premisses (obviously the conclusion
is true as well by the definition of validity).
B. The fact that a deductive argument is valid cannot, in itself, assure us
that any of the statements in the argument are true; this fact only tells
us that the conclusion must be true* if *the premisses are true.

Best,

Gary R

[image: Gary Richmond]

*Gary Richmond*
*Philosophy and Critical Thinking*
*Communication Studies*
*LaGuardia College of the City University of New York*
*C 745*
*718 482-5690*

On Thu, Apr 28, 2016 at 3:00 PM, Jerry Rhee <[email protected]> wrote:

> Thanks Gary,
>
> What about my last question?  Would you say there's an intention to
> deduction or using syllogisms or is that so ambiguous we leave it alone?
>
> I guess the reason I ask is because if everyone agrees that all swans are
> white, then there's no problem...but it's often the case that arguments
> happen because they don't agree on the premise that all swans are white and
> syllogisms are of little help.
>
> Best,
> J
>
>
>
> On Thu, Apr 28, 2016 at 1:54 PM, Gary Richmond <[email protected]>
> wrote:
>
>> Jerry wrote:
>>
>> The swan example:
>>
>>
>>
>> Rule:  All swans are white
>>
>> Case:  Jimmy is a swan
>>
>> Result:  Jimmy is white.
>>
>>
>>
>> Except, all swans are not white.  Some are black.  But people thought
>> swans were only white long ago...or so they say.  Also, given our awareness
>> of genetics, there was always the possibility that swans could have been
>> black...blue, even.
>>
>>  [, , ,]
>>
>> So, is the deductive swan example necessary reasoning?  Is it
>> correct?  Is the intention of deductive reasoning and syllogisms in general
>> to promote correct reasoning or necessary reasoning?
>>
>>
>> The form of the syllogism is correct. For deductive reasoning the
>> conclusion will necessarily be true if the rule is true. In the swan
>> example it is not true that all swans are white, so the conclusion is not
>> necessarily correct, although its form most certainly is. This is pretty
>> basic logic.
>>
>> Best,
>>
>> Gary R
>>
>> [image: Gary Richmond]
>>
>> *Gary Richmond*
>> *Philosophy and Critical Thinking*
>> *Communication Studies*
>> *LaGuardia College of the City University of New York*
>> *C 745*
>> *718 482-5690 <718%20482-5690>*
>>
>> On Wed, Apr 27, 2016 at 5:45 PM, Gary Richmond <[email protected]>
>> wrote:
>>
>>> List,
>>>
>>> Not to be taken too seriously--as this was just a bit of play which
>>> occupied me for an hour or so today-- but based on the bean example, here's
>>> how I see the three inference patterns and their paths (vectors) through
>>> the 3 categories.
>>>
>>> *Inference patterns and categoriality:*
>>> 1ns, Result (for deduction only) == 'Character' (for abduction/induction)
>>> |> 3ns, Rule
>>> 2ns, Case
>>>
>>> Middle term: That which is the middle term in deduction is put in *bold
>>> *in all 3 patterns
>>> Vectorial order: In each case start at * and conclude at ***
>>>
>>> *Deduction* (vector of involution):
>>> ***3rd, 1ns: *conclusion*-It is NECESSARY that Jesus die.
>>> |> *1st, 3ns: All *men* die,
>>> **2nd, 2ns: Jesus is a *man*;
>>>
>>> *Abduction* (vector of representation):
>>> **2nd, 1ns: Jesus died;
>>> |> *1st, 3ns: I make the supposition that all *men* die,
>>> ***3rd, 2ns: *conclusion*-It is POSSIBLE that Jesus was but a *man*.
>>>
>>> *Induction* (vector of determination):
>>> **2nd, 1ns: Jesus dies;
>>> |> ***3rd, 3ns: *conclusion*-It is PROBABLE that all *men* die.
>>> *1st, 2ns: Jesus is a *man, *
>>>
>>> Well, again, one doesn't want to make too much of this except to note
>>> that both deduction and abduction begin with a rule (in abduction, a mere
>>> 'supposition'), while induction concludes with a rule (which has some
>>> probability).
>>>
>>> Best,
>>>
>>> Gary R
>>>
>>
>>
>>
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>>
>
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