Αποτελέσματα Αναζήτησης
26 Μαρ 2004 · Aristotle uses mathematics and mathematical sciences in three important ways in his treatises. Contemporary mathematics serves as a model for his philosophy of science and provides some important techniques, e.g., as used in his logic.
- The Infinite
Aristotle accepts this notion as well. The infinite series...
- Place and Continuity of Magnitudes
In Physics iv.1-5 Aristotle distinguishes four notions as...
- Aristotle and Greek Mathematics
Aristotle discusses the definitions of numerous mathematical...
- The Infinite
On one hand, Aristotle treats mathematical sciences as a model of scientific knowledge, and on the other hand, he agrees with Plato’s assumption that authentic knowledge must have a real object. These two statements raise questions about the existence of mathematical objects.
Aristotle discusses the definitions of numerous mathematical entities and properties, such as point, line, plane, solid, circle, commensurate, number, even and odd, three, etc., and uses others in interesting ways, such as prime and additively prime (not the sum of two numbers, i.e., 2 and 3, since 2 is the first number) in a definition of ...
Aristotle does not believe that the purpose of logic is to prove that human beings can have knowledge. (He dismisses excessive scepticism.) The aim of logic is the elaboration of a coherent system that allows us to investigate, classify, and evaluate good and bad forms of reasoning.
Aristotle and First Principles in Greek Mathematics. It has long been a tradition to read Aristotle's treatment of first principles as reflected in the first principles of Euclid's Elements I. There are similarities and differences.
the Aristotelian terminology that they cannot be considered reliable witnesses to a purely mathematical tradition of language. A further difficulty is the fact that Euclid, Archimedes, and Apollonius had but little occasion to put into writing certain terms for general mathematical procedures, such as avyrE'paula,
the interpretation of Aristotelian mathematics in its own terms, apart from his reaction to the concluding suggestions about Aris totle and metaphysics in general.
