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Re: Semantic Entailment --- Principle of compositionality applied to base terms

From Mikko <mikko.levanto@iki.fi>
Newsgroups sci.logic, sci.math, comp.theory
Subject Re: Semantic Entailment --- Principle of compositionality applied to base terms
Followup-To sci.logic
Date 2026-07-11 11:08 +0300
Organization A noiseless patient Spider
Message-ID <112stmh$1s8cu$1@dont-email.me> (permalink)
References (2 earlier) <112mbq8$3tgh9$1@dont-email.me> <112nitk$7g8t$1@dont-email.me> <112obl1$f5v1$1@dont-email.me> <112q8cb$12fin$1@dont-email.me> <112qu6r$19big$1@dont-email.me>

Cross-posted to 3 groups.

Followups directed to: sci.logic

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On 10/07/2026 17:05, olcott wrote:
> On 7/10/2026 2:52 AM, Mikko wrote:
>> On 09/07/2026 17:36, olcott wrote:
>>> On 7/9/2026 2:34 AM, Mikko wrote:
>>>> On 08/07/2026 23:26, olcott wrote:
>>>>> On 7/8/2026 2:24 AM, Mikko wrote:
>>>>>> On 06/07/2026 18:15, olcott wrote:
>>>>>>
>>>>>>> P ⊢ Q where the rules of inference are only
>>>>>>> semantic entailment specified syntactically.
>>>>>>>
>>>>>>> Validity and Soundness
>>>>>>> A deductive argument is said to be valid if and only
>>>>>>> if it takes a form that makes it impossible for the
>>>>>>> premises to be true and the conclusion nevertheless
>>>>>>> to be false. https://iep.utm.edu/val-snd/
>>>>>>>
>>>>>>> Is corrected to mean
>>>>>>> A deductive argument is said to be valid if and only
>>>>>>> if it takes a form that the conclusion is semantically
>>>>>>> entailed by its premises.
>>>>>>>
>>>>>>> We do not use model theory to do this we use proof
>>>>>>> theoretic semantics.
>>>>>
>>>>>> What does "semantic entailment" mean when model theory
>>>>>> is not used?
>>>>>
>>>>> P ⊢ Q means syntactic derivation implements semantic
>>>>> entailment encoded in syntactically the language.
>>>>> This is the only inference steps allowed.
>>>>
>>>> That does not answer the question. It does not specify
>>>> what "semantic entailment" means nor what inference
>>>> steps are allowed.
>>>
>>> It is the normal meaning of the base words.
>>
>> There are several normal meanings of "entailment", none of which
>> is compatible with the adjective "semantic". One normal meaning
>> is the act of setting an inheritance rule for some property.
> 
> Base meaning is the most basic and common meaning of the
> English word from a dictionary. This is often the first
> listing.

Which meaning is listed first depends on the dictionary. Some
dictionaries put the legal meaning first.

> semantic adjective
> of or relating to meaning in language
> https://www.merriam-webster.com/dictionary/semantic
> 
> entail verb
> to cause or involve by necessity or as a consequence.
> https://www.dictionary.com/browse/entail

You used "entailment" above, not "entail", which can be used
as a verb and a noun. They are related but the most common
meaning of one seens to be related to a less common meaning
of the other.

> Frege's Principle of compositionality
> the principle that the meaning of a complex expression
> is determined by the meanings of its constituent expressions
> and the rules used to combine them
> https://en.wikipedia.org/wiki/Principle_of_compositionality

Natural languages follopw that principle to some extent but
not always and sometimes use expression where that principle
is not even applicable, like you did with your "semantic
enlainlment".

> What is the exact compositional meaning of the term
> "semantic entailment"?
> 
> The exact compositional meaning of semantic entailment
> comes from combining its two constituent terms — semantic
> (relating to meaning and truth) and entailment (a logical
> consequence).
> 
> In formal logic and linguistics, semantic entailment
> is a relationship between statements where the truth
> of one statement guarantees the truth of another based
> strictly on their meaning, regardless of how they are
> syntactically constructed.

Seems reasonable but leaves one important detail unanswered:
what is the exact meaning of the expression "semantic meaning"?

>>> In English it means that the meaning of the words
>>> of a sentence proves that certain facts are true.

> The meaning of cat proves that cats are animals.

Although it "proves" in the formal sense, it is better to say
that the definition specifies. To say that a sentence proves
itself is formally correct but pricatically useless.

> That "cats are animals" is semantically entailed by the meaning
 > of "cat"

Or is not. There are several possible meanings.

-- 
Mikko

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Thread

Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-06 10:15 -0500
  Re: Olcott's big correction to symbolic logic Mikko <mikko.levanto@iki.fi> - 2026-07-08 10:24 +0300
    Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-08 15:26 -0500
      Re: Olcott's big correction to symbolic logic Mikko <mikko.levanto@iki.fi> - 2026-07-09 10:34 +0300
        Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 09:36 -0500
          Re: Olcott's big correction to symbolic logic Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-09 08:52 -0700
            Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 11:22 -0500
              Re: Olcott's big correction to symbolic logic Alan Mackenzie <acm@muc.de> - 2026-07-09 16:41 +0000
                Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 12:02 -0500
                Re: Olcott's big correction to symbolic logic Alan Mackenzie <acm@muc.de> - 2026-07-09 17:23 +0000
                Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 12:35 -0500
                Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 13:05 -0500
                Re: Olcott's big correction to symbolic logic Alan Mackenzie <acm@muc.de> - 2026-07-09 19:16 +0000
                Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 15:49 -0500
                Re: Olcott's big correction to symbolic logic Alan Mackenzie <acm@muc.de> - 2026-07-10 10:02 +0000
                Utterly replacing ALL symbolic logic with inherently correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 09:12 -0500
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning Mikko <mikko.levanto@iki.fi> - 2026-07-11 10:35 +0300
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning olcott <polcott333@gmail.com> - 2026-07-11 19:49 -0500
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning Mikko <mikko.levanto@iki.fi> - 2026-07-12 11:23 +0300
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning olcott <polcott333@gmail.com> - 2026-07-12 11:00 -0500
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning Mikko <mikko.levanto@iki.fi> - 2026-07-13 10:04 +0300
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning olcott <polcott333@gmail.com> - 2026-07-13 11:19 -0500
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning dbush <dbush.mobile@gmail.com> - 2026-07-13 15:34 -0400
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning Mikko <mikko.levanto@iki.fi> - 2026-07-14 10:44 +0300
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning olcott <polcott333@gmail.com> - 2026-07-14 13:47 -0500
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning Mikko <mikko.levanto@iki.fi> - 2026-07-15 11:34 +0300
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning olcott <polcott333@gmail.com> - 2026-07-15 11:11 -0500
                Re: Utterly replacing ALL symbolic logic with inherently correct reasoning Mikko <mikko.levanto@iki.fi> - 2026-07-16 09:33 +0300
              Re: Olcott's big correction to symbolic logic Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-09 12:56 -0700
                Re: Olcott's big correction to symbolic logic Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-09 13:40 -0700
                Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 16:05 -0500
          Re: Olcott's big correction to symbolic logic André G. Isaak <agisaak@gm.invalid> - 2026-07-09 14:15 -0600
            Re: Olcott's big correction to symbolic logic Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-09 13:37 -0700
              Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 16:02 -0500
                Re: Olcott's big correction to symbolic logic Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-09 14:04 -0700
                Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 16:08 -0500
                Re: Olcott's big correction to symbolic logic Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-09 18:55 -0700
                Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 22:12 -0500
                Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-10 00:08 -0500
                Re: Olcott's big correction to symbolic logic "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-07-10 16:46 -0700
                Re: Olcott's big correction to symbolic logic Alan Mackenzie <acm@muc.de> - 2026-07-09 21:14 +0000
                Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 17:02 -0500
              Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-10 00:14 -0500
            Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-09 15:58 -0500
              Re: Olcott's big correction to symbolic logic Mikko <mikko.levanto@iki.fi> - 2026-07-10 10:37 +0300
                Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-10 08:36 -0500
                Re: Olcott's big correction to symbolic logic André G. Isaak <agisaak@gm.invalid> - 2026-07-10 08:51 -0600
                Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 10:15 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning André G. Isaak <agisaak@gm.invalid> - 2026-07-10 09:57 -0600
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 11:09 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning Alan Mackenzie <acm@muc.de> - 2026-07-10 17:02 +0000
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 12:28 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning André G. Isaak <agisaak@gm.invalid> - 2026-07-10 12:12 -0600
                Re: Olcott's replacement of symbolic logic with correct reasoning Alan Mackenzie <acm@muc.de> - 2026-07-10 18:27 +0000
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 13:57 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning André G. Isaak <agisaak@gm.invalid> - 2026-07-10 13:11 -0600
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 14:33 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning André G. Isaak <agisaak@gm.invalid> - 2026-07-10 14:52 -0600
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 16:17 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-07-10 16:50 -0700
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 13:45 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning André G. Isaak <agisaak@gm.invalid> - 2026-07-10 11:16 -0600
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 12:36 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning André G. Isaak <agisaak@gm.invalid> - 2026-07-10 12:06 -0600
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 13:35 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning André G. Isaak <agisaak@gm.invalid> - 2026-07-10 13:07 -0600
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 14:30 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning André G. Isaak <agisaak@gm.invalid> - 2026-07-10 14:46 -0600
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 16:09 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning Alan Mackenzie <acm@muc.de> - 2026-07-10 21:32 +0000
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 16:45 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning André G. Isaak <agisaak@gm.invalid> - 2026-07-10 16:44 -0600
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-10 23:59 -0500
                Re: Olcott's replacement of symbolic logic with correct reasoning André G. Isaak <agisaak@gm.invalid> - 2026-07-11 06:33 -0600
                Re: Olcott's replacement of symbolic logic with correct reasoning olcott <polcott333@gmail.com> - 2026-07-11 20:08 -0500
                Re: Olcott's big correction to symbolic logic Mikko <mikko.levanto@iki.fi> - 2026-07-11 10:45 +0300
                Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-11 19:52 -0500
          Re: Olcott's big correction to symbolic logic Mikko <mikko.levanto@iki.fi> - 2026-07-10 10:52 +0300
            Semantic Entailment --- Principle of compositionality applied to base terms olcott <polcott333@gmail.com> - 2026-07-10 09:05 -0500
              Re: Semantic Entailment --- Principle of compositionality applied to base terms Mikko <mikko.levanto@iki.fi> - 2026-07-11 11:08 +0300
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-11 20:00 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term Mikko <mikko.levanto@iki.fi> - 2026-07-12 12:15 +0300
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-12 11:10 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term Mikko <mikko.levanto@iki.fi> - 2026-07-13 10:08 +0300
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-13 11:25 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-13 11:52 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-07-14 16:49 +0100
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 12:20 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-14 11:27 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 13:08 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-14 12:27 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 14:57 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term dbush <dbush.mobile@gmail.com> - 2026-07-14 16:10 -0400
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-14 14:28 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 15:38 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term dbush <dbush.mobile@gmail.com> - 2026-07-14 16:51 -0400
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 16:08 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term dbush <dbush.mobile@gmail.com> - 2026-07-14 17:18 -0400
                Re: Semantic Entailment --- Principle of compositionality applied to base term dbush <dbush.mobile@gmail.com> - 2026-07-14 22:02 -0400
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-14 15:04 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 16:11 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-14 15:32 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 16:35 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-14 16:13 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 17:20 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-14 16:46 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 17:56 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-14 17:02 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 19:33 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-14 18:42 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 20:23 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-14 19:38 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 20:56 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term André G. Isaak <agisaak@gm.invalid> - 2026-07-14 20:23 -0600
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 21:38 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term dbush <dbush.mobile@gmail.com> - 2026-07-14 15:31 -0400
                Re: Semantic Entailment --- Principle of compositionality applied to base term Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-07-15 20:38 +0100
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-15 15:44 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term dbush <dbush.mobile@gmail.com> - 2026-07-15 16:53 -0400
                Re: Semantic Entailment --- Principle of compositionality applied to base term Mikko <mikko.levanto@iki.fi> - 2026-07-14 10:51 +0300
                Re: Semantic Entailment --- Principle of compositionality applied to base term Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-07-14 16:25 +0100
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 14:09 -0500
                Re: Semantic Entailment --- Principle of compositionality applied to base term Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-07-14 11:12 +0100
                Re: Semantic Entailment --- Principle of compositionality applied to base term olcott <polcott333@gmail.com> - 2026-07-14 11:50 -0500
              Re: Semantic Entailment --- Principle of compositionality applied to base terms Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-07-14 16:52 +0100
                Re: Semantic Entailment --- Principle of compositionality applied to base terms olcott <polcott333@gmail.com> - 2026-07-14 12:23 -0500
  Re: Olcott's big correction to symbolic logic Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-07-14 16:12 +0100
    Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-14 12:09 -0500
      Re: Olcott's big correction to symbolic logic Mikko <mikko.levanto@iki.fi> - 2026-07-15 12:07 +0300
        Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-15 11:18 -0500
          Re: Olcott's big correction to symbolic logic Alan Mackenzie <acm@muc.de> - 2026-07-15 19:21 +0000
            Re: Olcott's big correction to symbolic logic olcott <polcott333@gmail.com> - 2026-07-15 15:01 -0500
              Re: Olcott's big correction to symbolic logic Mikko <mikko.levanto@iki.fi> - 2026-07-16 09:52 +0300
              Re: Olcott's big correction to symbolic logic Alan Mackenzie <acm@muc.de> - 2026-07-16 13:54 +0000
          Re: Olcott's big correction to symbolic logic Mikko <mikko.levanto@iki.fi> - 2026-07-16 09:47 +0300

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