Re: [PEIRCE-L] Meta-languages. Re: Four branches of existential graphs: Alpha, Beta, Gamma, Delta

2024-03-25 Thread John F Sowa
Jerry, As you know very well, there is a huge difference in the various kinds of chemical bonds.In a combination of a noun phrase (NP) and a verb phrase (VP). The NP is analogous to a sodium ion Na with a negative charge, and the VP is analogous to a sulfate ion (SO4) with a positive

Re: [PEIRCE-L] Meta-languages. Re: Four branches of existential graphs: Alpha, Beta, Gamma, Delta

2024-03-24 Thread Jon Alan Schmidt
Jerry, List: Roberts is not discussing metalanguage at all in that excerpt from p. 22 of his 1973 book, he is talking about rhemata/rhemes (Peirce uses both terms). These are incomplete propositions, with blanks where subjects need to be added in order to turn them into complete propositions.

Re: [PEIRCE-L] Meta-languages. Re: Four branches of existential graphs: Alpha, Beta, Gamma, Delta

2024-03-24 Thread Jerry LR Chandler
John, Jon: In my opinion your responses to the issues surrounding Tarski’s “metalanguage" are so weak from a scientific point of view that it is simpler to just pose an example of the meanings of metalanguages in the relevant logic used by CSP. The following is an excerpt from Robert’s book,

Re: [PEIRCE-L] Meta-languages. Re: Four branches of existential graphs: Alpha, Beta, Gamma, Delta

2024-03-24 Thread John F Sowa
Jon, List, All the commentary, quotations, and citations below by both of us are irrelevant to mathematical practice from ancient times to the present. Following is a definitive statement of mathematical practice from Euclid to the present: In mathematics, the distinction between axioms,

Re: [PEIRCE-L] Meta-languages. Re: Four branches of existential graphs: Alpha, Beta, Gamma, Delta

2024-03-23 Thread Jon Alan Schmidt
John, List: JFS: I am happy to say that I completely agree with Jon's note below. However, the following passage from another note is misleading about Peirce, Euclid, and mathematical practice from ancient times to the present. The quoted passage is from my same note below. JFS: In

Re: [PEIRCE-L] Meta-languages. Re: Four branches of existential graphs: Alpha, Beta, Gamma, Delta

2024-03-23 Thread John F Sowa
Jerry, Jon, List, JLRC: If the critical concept that is under scrutiny here the issue of “graphs of graphs” , how is this related to the arithmetical notion of division? I agree with Jon's explanation below that Peirce did not use the word "division" to mean the numerical operation of

Re: [PEIRCE-L] Meta-languages. Re: Four branches of existential graphs: Alpha, Beta, Gamma, Delta

2024-03-23 Thread Jon Alan Schmidt
Jerry, List: No one is claiming that Peirce ever used the *term *"metalanguage," only the *concept*. Specifically, he provided a Gamma EG notation for asserting a proposition about a proposition--the lightly drawn (1898) or dotted (1903) oval for treating a complete proposition as a *subject

[PEIRCE-L] Meta-languages. Re: Four branches of existential graphs: Alpha, Beta, Gamma, Delta

2024-03-22 Thread Jerry LR Chandler
Jon, List > On Mar 20, 2024, at 12:46 PM, Jon Alan Schmidt > wrote: > > Peirce's 1898 and 1903 notations for metalanguage are identical, except that > the oval and line are lightly drawn in the former and dotted in the latter. > > Peirce's "red pencil" notation in R 514 has nothing to do