Re: Readings in (some of the) foundations of mathematics --- tree of knowledge
olcott <[email protected]>
| Newsgroups | sci.logic,comp.theory,sci.math,comp.ai.philosophy |
|---|---|
| Organization | A noiseless patient Spider |
| Message-ID | <[email protected]> |
On 7/3/2026 12:34 PM, Ross Finlayson wrote: > On 07/03/2026 08:23 AM, olcott wrote: >> On 7/3/2026 3:41 AM, Mikko wrote: >>> On 02/07/2026 17:45, olcott wrote: >>>> On 7/2/2026 1:44 AM, Mikko wrote: >>>>> That depends on the semantic system. Often the meaning of the word >>>>> "cat" indeed involves that what is called a "cat" is also called >>>>> an "animal" but there are other posiibilities. Conseqently, the >>>>> sentence "cats are animals" can be a semantic tautology that tells >>>>> nothing about the real world, >>>> >>>> It tells us exactly one thing about the real world 1 != 0 >>> >>> A tautology tells nothing about the real world. Sometimes one can >>> have a false impression that something is said about the real world >>> when a tautology is presented. But that impression is a consequence >>> of insufficient or invalid consideration of logic and semantics. >>> >> Stipulative definition of relations between finite >> strings is the only way that these finite strings >> acquire semantic meaning. >> >> Try to find some other way that "cats" <are> "animals" >> can acquire semantic meaning besides Davidson Semantics. >> > > Yet: man is an animal, yet, man is not an animal. > > By different definitions of animal that would have different GUIDs in my system. Most literally man is an animal and "man is not an animal" is objectively incorrect. That man has a different set of abilities than most animals is also being updated. Chimps have been proven capable of abstract thought. > > computer science 101 > > -- Copyright 2026 Olcott My 28 year goal has been to make "true on the basis of meaning expressed in language" reliably computable for the entire body of knowledge. The complete structure of this system is now defined. The entire body of knowledge expressed in language is comprised of two types of relations between finite strings: (a) *Axioms* Expressions of language that are stipulated to be true. My system bridges the analytic/synthetic distinction by expressly encoding all empirical "atomic facts" in a formal language such as CycL of the Cyc project. (b) *Inference Rules* Expressions of language that are semantically entailed syntactically from (a) and/or (b).