Tag Archives: Infinity

Ask Meno Questions • Discussion 4

Re: Facebook Discussion • Oguzhan Kosar The questions raised under the heading of “Foundations of Mathematics” are generally considered to fall under the “Philosophy of Mathematics”, in particular, critical reflection on the possibility of mathematical knowledge and how we come … Continue reading

Posted in Anamnesis, C.S. Peirce, Descartes, Education, Epistemology, Foundations of Mathematics, Infinity, Inquiry, Inquiry Driven Systems, Intelligent Systems, Knowledge, Knowledge Representation, Learning, Learning Theory, Logic, Mathematics, Meno, Peirce, Philosophy, Philosophy of Mathematics, Plato, Pragmata, Pragmatism, Recollection, Semiotics, Socrates, Tabula Rasa, Teaching, Theorem Proving, Triadicity, Turing Test, Virtue | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Continuity, Generality, Infinity, Law, Synechism : 1

The concept of continuity that Peirce highlights in his synechism is a logical principle that is somewhat more general than the concepts of either mathematical or physical continua. Peirce’s concept of continuity is better understood as a concept of lawful … Continue reading

Posted in Abduction, Aristotle, C.S. Peirce, Cardinality, Constraint, Continua, Continuity, Discreteness, Discretion, Epistemology, Generality, Infinity, Knowledge, Law of Nature, Logic, Logic of Science, Mathematical Models, Mathematics, Natural Law, Peirce, Peirce List, Philosophy, Physics, Quanta, Quantum Mechanics, Science, Synechism, Topology | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | 10 Comments

What It Is

Re: Gil Kalai If I remember my long ago readings well enough, Jimmy the Ancient Greek could lay odds as well as any modern bookmaker on the outcomes of Olympic contests, but that was not really the point of Zeno’s … Continue reading

Posted in Change, Heraclitus, Infinity, Logic, Mathematics, Motion, Paradox, Parmenides, Phenomenology, Zeno | Tagged , , , , , , , , , | Leave a comment

Slip Slidin’ Away

Re: Zeno Proof Paradox And you give me the choice between a description that is sure but that teaches me nothing and hypotheses that claim to teach me but that are not sure. — Albert Camus • The Myth of … Continue reading

Posted in Albert Camus, Change, Infinity, Lewis Carroll, Logic, Mathematics, Meno, Modus Ponens, Motion, Paradox, Peirce, Phenomenology, Sisyphus, Syllogism, Zeno | Tagged , , , , , , , , , , , , , , | 3 Comments