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Topic: Is logic part of mathematics - or is mathematics part of logic?
Replies: 32   Last Post: Jul 7, 2013 9:03 PM

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Jonathan Crabtree

Posts: 305
Registered: 12/19/10
Re: Is logic part of mathematics - or is mathematics part of logic?
Posted: Jul 5, 2013 6:54 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Pure Mathematics is the class of all propositions of the form 'p implies q' where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants.

And logical constants are all notions definable in terms of the following: Implication, the relation of a term to a class of which it is a member, the notion of such that, the notion of relation, and such further notions as may be involved in the general notion of propositions of the above form.

In addition to these, mathematics uses a notion which is not a constituent of the propositions which it considers, namely the notion of truth.

Source: Principles of Mathematics Bertrand Russell 1903
http://archive.org/stream/principlesofmath01russ#page/n35/mode/2up


Date Subject Author
7/4/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Clyde Greeno
7/4/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/4/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Joe Niederberger
7/4/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
GS Chandy
7/4/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Louis Talman
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
GS Chandy
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
GS Chandy
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
GS Chandy
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Joe Niederberger
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/6/13
Read Re: Is logic part of mathematics - or is mathematics part of
logic?
Wayne Bishop
7/6/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/6/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/7/13
Read Re: Is logic part of mathematics - or is mathematics part of
logic?
Wayne Bishop
7/7/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/6/13
Read Re: Is logic part of mathematics - or is mathematics part of
logic?
Wayne Bishop
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Joe Niederberger
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Joe Niederberger
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Joe Niederberger
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Louis Talman
7/6/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/6/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/6/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Louis Talman
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Jonathan Crabtree
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
GS Chandy
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
Robert Hansen
7/7/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
GS Chandy
7/5/13
Read Re: Is logic part of mathematics - or is mathematics part of logic?
GS Chandy

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