06-240/Classnotes For Tuesday, September 12

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  • PDF notes by User:Harbansb: September 12 Notes.
  • If I have made an error in my notes, or you would like the editable OpenOffice file, feel free to e-mail me at harbansb@msn.com.
  • September 12 Notes for re-uploading, please email at jeff.matskin@utoronto.ca
  • PDF notes by User:Alla: Week 1 Lecture 1 notes
  • Below are a couple of lemmata critical to the derivation we did in class - the Professor left this little work to the students:
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The Real Numbers

The Real Numbers are a set (denoted by ) along with two binary operations: + (plus) and · (times) and two special elements: 0 (zero) and 1 (one), such that the following laws hold true:

: we have and (The Commutative Laws)

: we have and (The Associative Laws)

: is an additive unit and is a multiplicative unit (The Existence of Units/Identities)


This is incomplete.