On 30 Nov 2012, at 21:28, meekerdb wrote:

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On 11/30/2012 10:02 AM, Roger Clough wrote:And a transcendent truth could be arithmetic truth or the truth of necessary logic.True in logic and formal mathematics is just marker "T" that ispreserved by the rules of inference.

`This makes no sense. You confuse the propositional constant T, with`

`the semantical notion of truth. The first is expressible/definable`

`formally (indeed by T, or by "0 = 0" in arithmetic), the second is not`

`(Tarski theorem). When we say that truth is preserved by the rules of`

`inference, we are concerned with the second notion.`

In applications it is interpreted as if it were the correspondencemeaning of 'true'.

`Like in arithmetic. Truth of "ExP(x)" means that it exists a n such`

`that P(n), at the "metalevel", which is the bare level in logic (that`

`explains many confusion).`

But like all applications of mathematics, it may be onlyapproximate.

`Yes, but for arithmetic it is pretty clear, as we share our intuition`

`on the so-called standard finite numbers.`

Bruno 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.