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Mathematics is all about logic.
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Mathematics is all about logic. Every insightful mathematical theory (among non-mathematical ones) is built up axiomatically. The rules which enable us to produce a theory system are introduced by formal theory. Don't mix formal theory with the actual theory you are playing with! We sometimes call formal theory a metatheory.
 
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<h2>3. miscellanea </h2>
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<p>"SUCH THAT" is confusing!</p>

Revision as of 22:15, 14 October 2012

First Order Logic

Chenkai Wang

0. Introduction

Mathematics is all about logic. Every insightful mathematical theory (among non-mathematical ones) is built up axiomatically. The rules which enable us to produce a theory system are introduced by formal theory. Don't mix formal theory with the actual theory you are playing with! We sometimes call formal theory a metatheory.

1. The Language

2. Some Useful Metatheorems

3. miscellanea

"SUCH THAT" is confusing!

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett