Category Archives: Leibniz

¿Shifting Paradigms? • 6

Re: Peter Cameron • Infinity and Foundation C.S. Peirce is one who recognized the constitutional independence of mathematical inquiry, finding at its core a mode of operation tantamount to observation and more primitive than logic itself.  Here is one place … Continue reading

Posted in Algorithms, Boole, C.S. Peirce, Combinatorics, Computation, Foundations of Mathematics, Inquiry, Laws of Form, Leibniz, Logic, Mathematics, Model Theory, Paradigms, Peirce, Proof Theory, Spencer Brown | Tagged , , , , , , , , , , , , , , , | Leave a comment

¿Shifting Paradigms? • 5

Re: Peter Cameron • Infinity and Foundation We always encounter a multitude of problems whenever we try to rationalize mathematics by reducing it to logic, where logic itself is reduced to a purely deductive style.  A number of thinkers have … Continue reading

Posted in Algorithms, Boole, C.S. Peirce, Combinatorics, Computation, Foundations of Mathematics, Inquiry, Laws of Form, Leibniz, Logic, Mathematics, Model Theory, Paradigms, Peirce, Proof Theory, Spencer Brown | Tagged , , , , , , , , , , , , , , , | 3 Comments

The Present Is Big With The Future • Comment 2

Re: Facebook Discussion • John Barclay-Morton My interest in this theme of Leibniz goes back to a time when I began exploring generalized measures of determination and qualitative analogues of differential calculus — doctrines of absolute determinism or predestination had … Continue reading

Posted in C.S. Peirce, Determination, Determinism, Differential Calculus, Differential Logic, Hologrammautomaton, Infinitesimals, Leibniz, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Universal Harmony | Tagged , , , , , , , , , , , , , | Leave a comment

The Present Is Big With The Future • Comment 1

Re: Peirce List Discussion • John Sowa Here is a passage from Leibniz where he half encrypts half decrypts the big idea sparking his discovery of the differential calculus. Now that I have proved sufficiently that everything comes to pass … Continue reading

Posted in C.S. Peirce, Determination, Determinism, Differential Calculus, Differential Logic, Hologrammautomaton, Infinitesimals, Leibniz, Logic, Logical Graphs, Mathematics, Peirce, Propositional Calculus, Universal Harmony | Tagged , , , , , , , , , , , , , | 1 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