Author Archives: Jon Awbrey

Peirce’s 1903 Lowell Lectures • Comment 9

Re: Peirce List Discussion • John Sowa JFS: In 1911, Peirce clarified [the] issues by using two distinct terms:  ‘the universe’ and ‘a sheet of paper’.  The sheet is no longer identified with the universe, and there is no reason why one couldn’t … Continue reading

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | Leave a comment

Peirce’s 1903 Lowell Lectures • Comment 8

Re: Peirce List Discussion • JA Many aspects of Peirce’s alpha graphs can be clarified by seeing how they relate to the corresponding Venn diagrams. In particular, there is a series of diagrams in this vein that I’ve found to … Continue reading

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | Leave a comment

Peirce’s 1903 Lowell Lectures • Comment 7

Re: Peirce List Discussion • JA I’ll go ahead and copy out the first part of the article on Logical Implication, as I find I am still pleased with all I was able to say in such a short space. … Continue reading

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | Leave a comment

Peirce’s 1903 Lowell Lectures • Comment 6

Re: Peirce List Discussions • (1) • (2) • (3) The concept of logical implication or material conditional — its names are legion — is ever a source of logical bedevilment.  It has proved no different in the discussion of … Continue reading

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | Leave a comment

The Difference That Makes A Difference That Peirce Makes : 19

Re: Peirce List Discussion • John Sowa Peirce uses the word “formal” in a sense that gives it normative force.  It is this sense in which he defines logic as formal semiotic. But taking “formal” in a normative sense creates difficulties … Continue reading

Posted in C.S. Peirce, Descriptive Science, Formal Languages, Inquiry, Logic, Logic of Relatives, Logical Graphs, Mathematics, Normative Science, Peirce, Pragmatism, Relation Theory, Semiotics, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , , | Leave a comment

Peirce’s 1903 Lowell Lectures • Comment 5

The World of Ā Cf: Laws Of Form Discussion • JA The relationship between classical and non-classical logic is a topic that comes up from time to time in these discussions.  Inquiry into it tends to take a different tack … Continue reading

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | Leave a comment

Peirce’s 1903 Lowell Lectures • Comment 4

Cf: Laws Of Form Discussion • JA A couple of comments in response to questions about the relationship between Spencer Brown’s Laws of Form and the broader scope of Peirce’s Logical Graphs. Re: Peirce List Discussion • HR George Spencer Brown … Continue reading

Posted in C.S. Peirce, Diagrammatic Reasoning, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Peirce List, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization | Tagged , , , , , , , , , , , , | 1 Comment