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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
Hence, we can have Aristotle's series described in two ways:...
- 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
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’s Deductive Approach in Mathematics. Aristotle discussed two major concerns for the nature of mathematics. In one, he mentions that there must be some unprovable principles to avoid infinite regresses. And in the other, he mentions that the proofs should be explanatory.
ARISTOTLE AS A MATHEMATICIAN. ROBERT BRUMBAUGH. JlIegent studies clarifying Aristotle's knowledge and use of math ematics also make it clear that an appraisal and transposition into modern terms of the nature and value of Aristotle's work in this. area is a complex problem.1 In basic features, the problem is.
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.
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.
In Physics B2 Aristotle begins to define mathematical activity by contrasting it with the study of nature: usly physical bodies contain surfaces, volumes, lines, and points, and these are the subject matter of mathemat- ics. ...Now the mathematician, though he too treats of these things (viz., surfaces, volumes, lengths, and points), does not treat
