Category Archives: Paradox

All Liar, No Paradox • Discussion 2

Posted on October 23, 2021 by Jon Awbrey

Re: Laws of Form • James Bowery • John Mingers Dear James, John, et al. The questions arising in the present discussion take us back to the question of what we are using logical values like and for, which takes … Continue reading →

Posted in Bertrand Russell, C.S. Peirce, Epimenides, Laws of Form, Liar Paradox, Logic, Logical Graphs, Mathematics, Paradox, Pragmatics, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Spencer Brown, Syntax, Visualization | Tagged , , , , , , , , , , , , , , , , , | 3 Comments

All Liar, No Paradox • Discussion 1

Posted on October 23, 2021 by Jon Awbrey

Re: Laws of Form • John Mingers JM: Several people have referred recently to the idea that Laws of Form, and particularly Chapter 11 with imaginary logical values, provides an answer to the problems Russell found in Principia Mathematica leading to … Continue reading →

Posted in Bertrand Russell, C.S. Peirce, Epimenides, Laws of Form, Liar Paradox, Logic, Logical Graphs, Mathematics, Paradox, Pragmatics, Rhetoric, Semantics, Semiositis, Semiotics, Sign Relations, Spencer Brown, Syntax, Visualization | Tagged , , , , , , , , , , , , , , , , , | 3 Comments

All Process, No Paradox • 9

Posted on March 18, 2021 by Jon Awbrey

In the midst of this strife, whereat the halls of Ilúvatar shook and a tremor ran out into the silences yet unmoved, Ilúvatar arose a third time, and his face was terrible to behold.  Then he raised up both his … Continue reading →

Posted in Animata, C.S. Peirce, Category Theory, Cybernetics, Differential Logic, Laws of Form, Logic, Logical Graphs, Mathematics, Paradox, Peirce, Process, Semiotics, Spencer Brown, Systems Theory, Tertium Quid, Time, Tolkien | Tagged , , , , , , , , , , , , , , , , , | 5 Comments

All Process, No Paradox • 8

Posted on March 16, 2021 by Jon Awbrey

These are the forms of time, which imitates eternity and revolves according to a law of number. Plato • Timaeus Re: Laws of Form • Seth • James Bowery (1) (2) (3) • Lyle Anderson Dear Seth, James, Lyle, Nothing … Continue reading →

Posted in Animata, Boolean Functions, C.S. Peirce, Cybernetics, Differential Logic, Discrete Dynamics, Laws of Form, Logic, Logical Graphs, Lou Kauffman, Mathematics, Paradox, Peirce, Plato, Process, Spencer Brown, Timaeus, Time | Tagged , , , , , , , , , , , , , , , , , | 4 Comments

All Process, No Paradox • 7

Posted on March 13, 2021 by Jon Awbrey

Unlike more superficial forms of expertise, mathematics is a way of saying less and less about more and more.  A mathematical text is thus not an end in itself, but a key to a world beyond the compass of ordinary … Continue reading →

Posted in Animata, C.S. Peirce, Change, Cybernetics, Differential Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Paradox, Peirce, Process, Process Thinking, Spencer Brown, Systems Theory, Time, Tolkien | Tagged , , , , , , , , , , , , , , , , , | 5 Comments

Problems In Philosophy • 3

Posted on February 8, 2016 by Jon Awbrey

Re: R.D. Mounce Making reality our friend is necessary to survival and finding good descriptions of reality is the better part of doing that, so I don’t imagine we have any less interest in truth than the Ancients.  From what … Continue reading →

Posted in Aesthetics, Computation, Computer Science, Ethics, Heap Problem, Logic, Mathematics, Model Theory, Normative Science, Paradox, Peirce, Philosophy, Pragmatism, Problem Solving, Proof Theory, Sorites | Tagged , , , , , , , , , , , , , , , | Leave a comment

Problems In Philosophy • 1

Posted on February 7, 2016 by Jon Awbrey

Re: R.J. Lipton and K.W. Regan • You Think We Have Problems I used to think about the heap problem a lot when I was programming and I decided the heap quits being a heap as soon as you remove … Continue reading →

Posted in Computation, Computer Science, Heap Problem, Paradox, Philosophy, Sorites | Tagged , , , , , | 1 Comment

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 , , , , , , , , , , , , , , , | 8 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 , , , , , , , , , , , , , , , | 11 Comments

All Process, No Paradox • 6

Posted on January 22, 2014 by Jon Awbrey

Re: R.J. Lipton • Anti-Social Networks Re: Lou Kauffman • Iterants, Imaginaries, Matrices Comments I made elsewhere about computer science and (anti-)social networks have a connection with the work in progress on this thread, so it may steal a march … Continue reading →

Posted in Algorithms, Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Differential Logic, Graph Theory, Laws of Form, Logic, Logical Graphs, Lou Kauffman, Mathematics, Minimal Negation Operators, Painted Cacti, Paradox, Peirce, Process Thinking, Propositional Calculus, Spencer Brown, Systems, Time | Tagged , , , , , , , , , , , , , , , , , , , , , , | 8 Comments