Category Archives: Structure

Definition and Determination : 17

Re: Ontolog Forum Discussion • Richard McCullough RM:  We clearly have some differences in the “definition” of “definition”. I suppose it all depends on the sorts of things one wants to define, something we might call the context of application.  … Continue reading

Posted in C.S. Peirce, Category Theory, Comprehension, Constraint, Definition, Determination, Extension, Form, Geometry, Graph Theory, Group Theory, Information, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Logical Graphs, Mathematics, Ontology, Peirce, Relation Theory, Semiotics, Sign Relations, Structure, Theorem Proving, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Definition and Determination : 16

Re: Ontolog Forum Discussion • Richard McCullough RM:  What is your view of definitions? A recurring question, always worth some thought, so I added my earlier comment to a long-running series on my blog concerned with Definition and Determination. Definition and … Continue reading

Posted in C.S. Peirce, Category Theory, Comprehension, Constraint, Definition, Determination, Extension, Form, Geometry, Graph Theory, Group Theory, Information, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Logical Graphs, Mathematics, Ontology, Peirce, Relation Theory, Semiotics, Sign Relations, Structure, Theorem Proving, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Definition and Determination : 15

Re: Ontolog Forum Discussion In some early math course I learned a fourfold scheme of Primitives (undefined terms), Definitions, Axioms, and Inference Rules.  But later excursions tended to run the axioms and definitions together, speaking for example of mathematical objects … Continue reading

Posted in C.S. Peirce, Category Theory, Comprehension, Constraint, Definition, Determination, Extension, Form, Geometry, Graph Theory, Group Theory, Information, Inquiry, Inquiry Driven Systems, Logic, Logic of Relatives, Logical Graphs, Mathematics, Ontology, Peirce, Relation Theory, Semiotics, Sign Relations, Structure, Theorem Proving, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , | 1 Comment

Definition and Determination : 14

Re: Peirce List Discussion I’ve been trying to sort through the explosion of topics and tangents that have arisen over the past month — disruptions in my actual and virtual office spaces have made it hard for me to keep … Continue reading

Posted in C.S. Peirce, Comprehension, Constraint, Definition, Determination, Extension, Form, Information, Inquiry, Logic, Logic of Relatives, Mathematics, Peirce, Peirce List, Relation Theory, Semiotics, Sign Relations, Structure, Triadic Relations | Tagged , , , , , , , , , , , , , , , , , , | Leave a comment

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