PHL100Y1 Lecture Notes - Bertrand Russell, Phonetics, Roman Jakobson
Document Summary
Interdisciplinary mathematics is a bridge which connects the real and the intuitive to the formal and to the language. This process often results in confusion and sometimes even to paradoxes. This reading demonstrates how our theory of human-math dichotomy can deal with paradoxes of mathematics. At the same time we discuss the relationship between. Syntax and semantics, structure and meaning in the languages, and in particular in formal languages. Finally we demonstrate how a paradox of mathematics lives in the margins of the language of mathematics. Two famous examples of paradoxes of mathematics are liar s paradox and zeno s paradox. They are said to have great impact on the development of mathematics. A paradox is an argument that seems like a perfectly logical derivation from perfectly reasonable assumptions, but it comes to a contradiction with its own original premises: liar"s paradox: is about someone who is believed to always lie.
