Category Archives: Differential Calculus

Readings On Determination • Discussion 3

Re: Readings On Determination • 1 I keep coming back to Peirce’s early lectures on the logic of science because we see there the first inklings of his prospective theory of information, one of those ideas whose time was ripe … Continue reading

Posted in Comprehension, Computer Science, Constraint, Definition, Determination, Differential Calculus, Differential Logic, Extension, Form, Information, Inquiry, Inquiry Driven Systems, Leibniz, Logic, Logic of Relatives, Mathematics, Peirce, Prigogine, Relation Theory, Relational Programming, Semiotics, Sign Relations, Structure, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Readings On Determination • 1

The concepts of definition and determination converge in their concern for setting bounds to the point where they coincide at a certain level of abstraction.  One avenue of approach to determination may then begin from a consideration of definition. The moment, then, … Continue reading

Posted in Comprehension, Computer Science, Constraint, Definition, Determination, Differential Calculus, Differential Logic, Extension, Form, Information, Inquiry, Inquiry Driven Systems, Leibniz, Logic, Logic of Relatives, Mathematics, Peirce, Prigogine, Relation Theory, Relational Programming, Semiotics, Sign Relations, Structure, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , | 2 Comments

Readings On Determination • Discussion 2

Re: Peirce List Discussion • Jeffrey Brian Downard Having been through this same discussion on many previous occasions I will try to sum up the more persistent confusions that never cease to bedevil the subject.  Most of these arise from … Continue reading

Posted in C.S. Peirce, Comprehension, Computer Science, Constraint, Definition, Determination, Differential Calculus, Differential Logic, Extension, Form, Information, Inquiry, Inquiry Driven Systems, Leibniz, Logic, Logic of Relatives, Mathematics, Peirce, Prigogine, Relation Theory, Relational Programming, Semiotics, Sign Relations, Structure, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Readings On Determination • Discussion 1

Re: Peirce List Discussion What I’m really after here has to do with the way that a certain concept of determination figures into Peirce’s better definitions of a sign relation — “better” meaning the definitions that are strong enough to … Continue reading

Posted in C.S. Peirce, Comprehension, Computer Science, Constraint, Definition, Determination, Differential Calculus, Differential Logic, Extension, Form, Information, Inquiry, Inquiry Driven Systems, Leibniz, Logic, Logic of Relatives, Mathematics, Peirce, Prigogine, Relation Theory, Relational Programming, Semiotics, Sign Relations, Structure, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Readings On Determination

This is an anchor post for a set of readings on determination.  They focus on the census of senses that Peirce employed in his pragmatic approach to information, inquiry, science, and signs with a pinch of readings from other writers … Continue reading

Posted in Comprehension, Computer Science, Constraint, Definition, Determination, Differential Calculus, Differential Logic, Extension, Form, Information, Inquiry, Inquiry Driven Systems, Leibniz, Logic, Logic of Relatives, Mathematics, Peirce, Prigogine, Relation Theory, Relational Programming, Semiotics, Sign Relations, Structure, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , , , , , , | 7 Comments

Survey of Differential Logic • 1

This is a Survey of previous blog and wiki posts on Differential Logic, material that I plan to develop toward a more compact and systematic account. Elements Differential Logic • Introduction Differential Propositional Calculus Architectonics Minimal Negation Operator Cactus Language … Continue reading

Posted in Amphecks, Boolean Functions, C.S. Peirce, Cactus Graphs, Change, Computational Complexity, Cybernetics, Differential Analytic Turing Automata, Differential Calculus, Differential Logic, Discrete Dynamical Systems, Equational Inference, Frankl Conjecture, Functional Logic, Graph Theory, Hill Climbing, Hologrammautomaton, Indicator Functions, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Painted Cacti, Peirce, Propositional Calculus, Propositional Equation Reasoning Systems, Surveys, Visualization, Zeroth Order Logic | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

The Present Is Big With The Future

Now that I have proved sufficiently that everything comes to pass according to determinate reasons, there cannot be any more difficulty over these principles of God’s foreknowledge. Although these determinations do not compel, they cannot but be certain, and they … Continue reading

Posted in Determination, Determinism, Differential Calculus, Differential Logic, Hologrammautomaton, Infinitesimals, Leibniz, Universal Harmony | Tagged , , , , , , , | 2 Comments