Category Archives: Laws of Form

Logical Graphs, Truth Tables, Venn Diagrams • 9

In November 1619, I had a dream involving the Seventh Ode of Ausonius, which begins Quod vitae sectabor iter [“What road in life shall I follow”]. René Descartes • Experimenta Re: Laws of Form • Lyle Anderson LA: As I … Continue reading

Posted in Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Spencer Brown, Truth Tables, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , | Leave a comment

Logical Graphs, Truth Tables, Venn Diagrams • 8

Re: Laws of Form • John Mingers • Lyle Anderson Re: Logical Graphs, Truth Tables, Venn Diagrams • (2) • (3) Looking to the day we can make our ascent to logical graphs with increasing numbers of variables, I’d like to … Continue reading

Posted in Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Spencer Brown, Truth Tables, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , | Leave a comment

Animated Logical Graphs • 76

Re: Richard J. Lipton • The Art Of Math Re: Animated Logical Graphs • (30) • (45) • (57) • (58) • (59) • (60) • (61) • (62) • (63) • (64) • (65) • (66) • (69) • … Continue reading

Posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Theorem Proving, Visualization | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Logical Graphs, Truth Tables, Venn Diagrams • 7

Re: Logical Graphs, Truth Tables, Venn Diagrams • 6 Re: Amphecks On the subject of Peirce’s ampheck operators, see the earlier discussion of their duality under entitative and existential interpretations. Animated Logical Graphs • 74 The ampheck operators are dual … Continue reading

Posted in Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Spencer Brown, Truth Tables, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , | 1 Comment

Logical Graphs, Truth Tables, Venn Diagrams • 6

Re: Laws of Form • John Mingers • Lyle Anderson Dear John, Lyle, See:  Ampheck Peirce discovered this about 1880 but did not publish it, leaving it to be named after Sheffer at a much later date.  In one discussion … Continue reading

Posted in Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Spencer Brown, Truth Tables, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , | 2 Comments

Logical Graphs, Truth Tables, Venn Diagrams • 5

Re: Laws of Form • Lyle Anderson Re: Anderson, Lyle A. III (1981), “Systematic Analysis of Algorithms”, Open Access Master’s Theses, Paper 1167, (1) (2). Thanks, Lyle, your Chapter 4, “Dealing With Conditional Statements”, provides a detailed treatment of algorithmic … Continue reading

Posted in Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Spencer Brown, Truth Tables, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , | 1 Comment

Logical Graphs, Truth Tables, Venn Diagrams • 4

All we are saying is give Peirce a chance Re: Laws of Form • John Mingers • Lyle Anderson Dear John, Lyle, I’ve seen too many ways of interpreting and implementing If‑Then‑Else clauses to know what any one person or … Continue reading

Posted in Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Spencer Brown, Truth Tables, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , | 1 Comment

Logical Graphs, Truth Tables, Venn Diagrams • 3

Re: Laws of Form • John Mingers • Lyle Anderson Dear John, Lyle, There is nothing simple about the interpretation of If-Then-Else constructions in ordinary language as they combine the equivocation between formal and material implication at the outset with … Continue reading

Posted in Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Spencer Brown, Truth Tables, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , | 2 Comments

Logical Graphs, Truth Tables, Venn Diagrams • 2

Re: Laws of Form • John Mingers JM: Most of the recent discussion is about two-variable logic forms where there is a logical relation between two logical variables.  I want to bring up the subject of three-variable logic which I … Continue reading

Posted in Amphecks, Boolean Algebra, Boolean Functions, C.S. Peirce, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Spencer Brown, Truth Tables, Venn Diagrams, Visualization | Tagged , , , , , , , , , , , , , , | 2 Comments

Differential Logic • Comment 5

Re: Peirce List • John Sowa : “Modal Logic Is An Immense Swamp” Dear John, Best title I’ve read in a long time!  But the really immense swamp critter here is the Naturally Evolved Organon known as ornery natural language which … Continue reading

Posted in Adaptive Systems, Amphecks, Belief Systems, Boole, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Cybernetics, Differential Logic, Discrete Dynamics, Fixation of Belief, Gradient Descent, Graph Theory, Hill Climbing, Hologrammautomaton, Inquiry, Inquiry Driven Systems, Laws of Form, Leibniz, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Optimization, Painted Cacti, Peirce, Propositional Calculus, Spencer Brown | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Comments Off on Differential Logic • Comment 5