On 08 Sep 2012, at 06:19, meekerdb wrote:

On 9/7/2012 8:43 PM, Jason Resch wrote:Platonism (or mathematical realism) is the majority viewpoint ofmodern mathematicians.In a survey of mathematicians I know it is an even division. Ofcourse they are all methodological Platonists, but not necessarilyphilosophical ones.Computationalism (or functionalism) is the majority viewpoint ofcognitive scientists and philosophers of mind. Thus the scientificconsensus is that infinite (mathematical) truthExcept mathematical truth is just a marker, T, whose value ispreserved by the rules of logic. Whether a proposition that has Tcorresponds with any fact is another question.

`Be careful to distinguish a true sentence (like T) with the notion of`

`truth or of arithmetical true sentence, which is not even definable in`

`arithmetic, and can be meta-defined in some set theory or second order`

`arithmetic, at the meta-level. God can be arithmetical truth, but God`

`can't be just T.`

is the self-existent cause and reason for our existence.That is very far from a scientific consensus. I'd say majority theopinion among scientists who are philosophically inclined is thatmathematics and logic are languages in which we create models thatrepresent what we think about reality. This explains why there canbe contradictory mathematical models and even mutually inconsistentsets of axioms and rules of inference.

`Yes, but this makes sense only for people agreeing on elementary`

`arithmetical truth. If not, the notion of axioms and rules of`

`inference don't make sense.`

`Nobody serious disagree on elementary arithmetic. I have never seen`

`someone doubting the meaning of (N, +, *), except philosophers. Bad`

`philosophers, I would say, when they are in desperate needs to`

`demolish some argument, or to look original or something. We need`

`assess arithmetic to make sense of doubting arithmetic, and so,`

`doubting arithmetic does not make sense, in fact.`

Bruno

Few people today have realized that this is inevitable conclusionof these two commonly held beliefs.Not only that a few people have rejected it. Brent --You received this message because you are subscribed to the GoogleGroups "Everything List" group.To post to this group, send email to everything-list@googlegroups.com.To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com.For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.

http://iridia.ulb.ac.be/~marchal/ -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.