Category Archives: Philosophy

Signs Of Signs • 1

Re: Michael Harris • Language About Language There is a language and a corresponding literature treating logic and mathematics as related species of communication and information gathering, namely, the pragmatic‑semiotic tradition transmitted through the lifelong efforts of C.S. Peirce.  It is … Continue reading

Posted in Aesthetics, C.S. Peirce, Category Theory, Coherentism, Communication, Connotation, Form, Formal Languages, Foundations of Mathematics, Higher Order Propositions, Illusion, Inquiry, Inquiry Into Inquiry, Interpretation, Interpretive Frameworks, Logic, Mathematics, Objective Frameworks, Objectivism, Pragmatic Semiotic Information, Pragmatics, Pragmatism, Recursion, Reflection, Semantics, Semiotics, Sign Relations, Syntax, Translation, Triadic Relations, Type Theory | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | 3 Comments

Tenacity, Authority, Plausibility, Inquiry

Re: Peter Cameron • Mathematics and Logic My favorite polymathematician, Charles Sanders Peirce, gave a fourfold classification of what he called “methods of fixing belief”, or “settling opinion”, most notably and seminally in his paper, “The Fixation of Belief” (1877).  … Continue reading

Posted in Authority, Belief, Belief Fixation, C.S. Peirce, Fixation of Belief, Inquiry, Logic, Method, Philosophy of Science, Plausibility, Science, Scientific Inquiry, Scientific Method, Tenacity, Uncertainty | Tagged , , , , , , , , , , , , , , | 3 Comments

Information = Comprehension × Extension • Comment 7

Let’s stay with Peirce’s example of inductive inference a little longer and try to clear up the more troublesome confusions tending to arise. Figure 2 shows the implication ordering of logical terms in the form of a lattice diagram. Figure … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 3 Comments

Information = Comprehension × Extension • Comment 6

Re: Information = Comprehension × Extension • Comment 2 Returning to Peirce’s example of inductive inference, let’s try to get a clearer picture of why he connects it with disjunctive terms and indicial signs.  At this point in time I … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 4 Comments

Information = Comprehension × Extension • Comment 5

Let’s stay with Peirce’s example of abductive inference a little longer and try to clear up the more troublesome confusions tending to arise. Figure 1 shows the implication ordering of logical terms in the form of a lattice diagram. Figure … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 4 Comments

Information = Comprehension × Extension • Comment 4

Re: Information = Comprehension × Extension • Comment 3 Many things still puzzle me about Peirce’s account at this point.  The question marks I added to the Figures of the previous post indicate the node labels I have remaining doubts … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 4 Comments

Information = Comprehension × Extension • Comment 3

Peirce identifies inference with a process he describes as symbolization.  Let us consider what that might imply. I am going, next, to show that inference is symbolization and that the puzzle of the validity of scientific inference lies merely in … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 5 Comments

Information = Comprehension × Extension • Comment 2

Let’s examine Peirce’s second example of a disjunctive term — neat, swine, sheep, deer — within the style of lattice framework we used before. Hence if we find out that neat are herbivorous, swine are herbivorous, sheep are herbivorous, and … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 5 Comments

Information = Comprehension × Extension • Comment 1

Selection 1 ends with Peirce drawing the following conclusion about the links between information, comprehension, inference, and symbolization. Thus information measures the superfluous comprehension.  And, hence, whenever we make a symbol to express any thing or any attribute we cannot … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 4 Comments

Information = Comprehension × Extension • Selection 6

Selection 1 opens with Peirce proposing, “The information of a term is the measure of its superfluous comprehension”, and it closes with his offering the following promise. I am going, next, to show that inference is symbolization and that the … Continue reading

Posted in Abduction, C.S. Peirce, Comprehension, Deduction, Extension, Hypothesis, Icon Index Symbol, Induction, Inference, Information = Comprehension × Extension, Inquiry, Intension, Logic, Peirce's Categories, Pragmatic Semiotic Information, Pragmatism, Scientific Method, Semiotics, Sign Relations | Tagged , , , , , , , , , , , , , , , , , , | 3 Comments