VIC112Y1 Lecture Notes - Lecture 3: Arthur Conan Doyle, John Etchemendy, Hercule Poirot
9 Oct 2017
School
Department
Course
Professor
Document Summary
5th c. bce: heated debates in greece over greatest philosophical puzzle of all time including parmenides and zeno. During this time math was based on deductive logic, challenged by zeno"s paradox. Zeno"s paradox presented challenges to the attempts of the day to provide analytic explanations of space, time, and motion. Syllogism: major premise + minor premise = conclusion. Major premise: states that a category has (or does not have) a certain characteristic. Minor premise: states that a certain thing is a member of the given category. Conclusion: af rms or denies that the thing has that characteristic. Aristotle: zeno"s paradox was inconsequential since it did not impugn the validity of the syllogism (based on the logic of common sense) Kasher and newman: history of mathematics recounts a poetic vindication of zeno"s stand. Aristotelian logic elaborated further in the 19th and 20th c. by george boole, Augustus de morgan, gottlob frege, giuseppe peano, bertrand russell, and alfred.
