Category Archives: Logic

Peirce’s Categories • 1

Posted on October 30, 2015 by Jon Awbrey

Re: Peirce List • Jeffrey Brian Downard Just from my experience, the best first approach to questions of firstness, secondness, thirdness, and so on is to regard k-ness as the property that all k-adic relations possess in common.  There is … Continue reading →

Posted in Abstraction, C.S. Peirce, Category Theory, Dimensionality, Logic, Logic of Relatives, Mathematics, Peirce, Peirce's Categories, Phenomenology, Pragmatism, Relation Theory, Semiotics, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , , , | 10 Comments

What Makes An Object? • 2

Posted on October 26, 2015 by Jon Awbrey

Re: Peirce List Discussison • (1) • (2) Visual metaphors and perceptual analogies can be instructive — they make for most of my personal favorites — but in logic, mathematics, and science our interest extends through the abductive spectrum, from … Continue reading →

Posted in C.S. Peirce, Interpretation, Interpretive Frameworks, Intuition, Logic, Logic of Relatives, Manifolds, Mathematics, Objective Frameworks, Peirce, Peirce List, Physics, Pragmata, Pragmatism, Process, Process Thinking, Relation Theory, Semiosis, Semiotics, Sign Relational Manifolds, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , | 1 Comment

What Makes An Object? • 1

Posted on October 25, 2015 by Jon Awbrey

Re: Gary Fuhrman • Seeing Things What makes an object is a perennial question. I can remember my physics professors bringing it up in a really big way when I was still just a freshman in college.  They always cautioned … Continue reading →

Posted in C.S. Peirce, Interpretation, Interpretive Frameworks, Intuition, Logic, Logic of Relatives, Manifolds, Mathematics, Objective Frameworks, Peirce, Peirce List, Physics, Pragmata, Pragmatism, Process, Process Thinking, Relation Theory, Semiosis, Semiotics, Sign Relational Manifolds, Sign Relations, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Zeroth Law Of Semiotics • Comment 7

Posted on August 18, 2015 by Jon Awbrey

Re: Peirce List I still have in mind trying to show how the principle I dubbed the Zeroth Law Of Semiotics can help us see what is really going on with a number of old puzzles like the Liar Paradox, … Continue reading →

Posted in C.S. Peirce, Denotation, Epimenides, Extension, Liar Paradox, Logic, Nominalism, Peirce, Peirce List, Pragmatics, Pragmatism, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Syntax, Zeroth Law Of Semiotics | Tagged , , , , , , , , , , , , , , , , , | 8 Comments

Zeroth Law Of Semiotics • Comment 6

Posted on August 11, 2015 by Jon Awbrey

Re: Peirce List By way of orientation to the task at hand, we are investigating a type of slippage that occurs in the gap between natural language, with the natural assumptions it has evolved to take for granted, rightly or … Continue reading →

Posted in C.S. Peirce, Denotation, Epimenides, Extension, Liar Paradox, Logic, Nominalism, Peirce, Pragmatics, Pragmatism, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Syntax, Zeroth Law Of Semiotics | Tagged , , , , , , , , , , , , , , , , | 7 Comments

Zeroth Law Of Semiotics • Comment 5

Posted on August 7, 2015 by Jon Awbrey

Re: Peirce List It may be a day or two before I can get back to the zeroth law of semiotics and how grasping it cures a strain of ills that language and some fashions of logic are heir to, … Continue reading →

Posted in Denotation, Epimenides, Extension, Liar Paradox, Logic, Nominalism, Peirce, Peirce List, Pragmatics, Pragmatism, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Syntax, Zeroth Law Of Semiotics | Tagged , , , , , , , , , , , , , , , , | 7 Comments

Zeroth Law Of Semiotics • Comment 4

Posted on August 5, 2015 by Jon Awbrey

Re: Peirce List • Sungchul Ji General terms are terms like man, woman, child, etc., each of which applies to many individuals, in other words, has a general denotation or a plural extension.  Generally speaking, a general term is treated … Continue reading →

Posted in C.S. Peirce, Denotation, Epimenides, Extension, Liar Paradox, Logic, Nominalism, Peirce, Pragmatics, Pragmatism, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Syntax, Zeroth Law Of Semiotics | Tagged , , , , , , , , , , , , , , , , | 7 Comments

Zeroth Law Of Semiotics • Comment 3

Posted on August 4, 2015 by Jon Awbrey

Re: Peirce List • Tom Wyrick Nominalism takes its name from the idea that “generals are only names” and it goes by the maxims “Do not take a general name for the name of a general” and “Do not multiply entities … Continue reading →

Posted in C.S. Peirce, Denotation, Extension, Information = Comprehension × Extension, Liar Paradox, Logic, Nominalism, Peirce, Pragmatics, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Syntax, Zeroth Law Of Semiotics | Tagged , , , , , , , , , , , , , , , | 7 Comments

All Liar, No Paradox • Comment 1

Posted on August 2, 2015 by Jon Awbrey

A statement asserts that a statement is a statement that is false. The statement violates an axiom of logic, so it doesn’t really matter whether the ostensible statement the so-called liar, really is a statement or has a truth value. … Continue reading →

Posted in C.S. Peirce, Epimenides, Foundations of Mathematics, Liar Paradox, Logic, Logical Graphs, Paradox, Pragmatics, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Syntax, Zeroth Law Of Semiotics, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , | 11 Comments

All Liar, No Paradox

Posted on August 1, 2015 by Jon Awbrey

A statement asserts that a statement is a statement that is false. The statement violates an axiom of logic, so it doesn’t really matter whether the ostensible statement the so-called liar, really is a statement or has a truth value.

Posted in C.S. Peirce, Epimenides, Foundations of Mathematics, Liar Paradox, Logic, Logical Graphs, Paradox, Pragmatics, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Syntax, Zeroth Law Of Semiotics, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , | 14 Comments