Re: Tarsky's Proof of the undefinability of truth.

2013-03-25 Thread Stephen P. King
On 3/25/2013 6:10 AM, Alberto G. Corona wrote: > I suspect that this impossibility is because math uses concept of a > model, while truth refers to the match of facts of the model with > facts of the reality . Or at least to facts of a metamodel outside of > the model. That is AFAIK the Tarsky ide

Re: Tarsky's Proof of the undefinability of truth.

2013-03-25 Thread Alberto G. Corona
I suspect that this impossibility is because math uses concept of a model, while truth refers to the match of facts of the model with facts of the reality . Or at least to facts of a metamodel outside of the model. That is AFAIK the Tarsky idea. For example, "All men are mortal is true" . Here s

Re: Tarsky's Proof of the undefinability of truth.

2013-03-24 Thread Bruno Marchal
On 23 Mar 2013, at 04:46, Stephen P. King wrote: "In 1936 Tarski proved a fundamental theorem of logic: the undefinability of truth. Roughly speaking, this says there's no consistent way to extend arithmetic so that it talks about 'truth' for statements about arithmetic. That's not ent

Re: Tarsky's Proof of the undefinability of truth.

2013-03-23 Thread Platonist Guitar Cowboy
On Sat, Mar 23, 2013 at 4:46 AM, Stephen P. King wrote: > "In 1936 Tarski proved a fundamental theorem of logic: the *undefinability > of truth*. Roughly speaking, this says there's no consistent way to > extend arithmetic so that it talks about 'truth' for statements about > arithmetic. Why n