Re: William T. Parry gets rid of Disjunction introduction

olcott <[email protected]>
Newsgroups sci.logic,comp.theory,sci.math,comp.ai.philosophy,alt.philosophy
Organization A noiseless patient Spider
Message-ID <[email protected]>
On 7/4/2026 10:52 PM, André G. Isaak wrote:
> On 2026-07-04 21:17, olcott wrote:
>> On 7/4/2026 8:28 PM, André G. Isaak wrote:
>>> Q is a necessary consequence of P
>>
>> seems best handled by
>> https://en.wikipedia.org/wiki/Relevance_logic
>> or Parry's Entailment Logic
>>
>> P □ Q
>> 0 0 0
>> 0 0 0
>> 1 0 0
>> 1 1 1
>>
>> Changes the notion of valid inference too much.
> 
> It doesn't change anything. It's simply invalid since its not a well- 
> formed truth table.
> 
>> I myself simply leap all the way to the end and
>> say that the full natural language semantic meaning
>> must be encoded for both P and Q such that P ⊢ Q
>> by semantic entailment specified syntactically.
>> This is accomplished in a language such as CycL.
>> https://en.wikipedia.org/wiki/CycL
> 
> The above sheds no light on anything. In particular it doesn't clarify 
> what you think the difference between entailment and necessary 
> entailment is which is the question I have been trying to get you to 
> address.
> 
> 

*This says the whole thing better*
P ⊢ Q means: syntactic derivation implements semantic entailment encoded 
in the language. The inference rules are syntactic rules that realize 
semantic entailment. These are the only allowed inference steps. The 
entailment rules depend on the represented domain.

Dogs are cats ⊢ Monkeys have wings // rejected

-- 
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).
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