Talk:Boolean algebra: Difference between revisions

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imported>Larry Sanger
imported>John R. Brews
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Arguably, there is no difference between Boolean algebra and formal logic.  But, as far as I know, only mathematicians and computer scientists talk about Boolean algebra per se, and their approach (including the symbols and the typical way of working out the deductive systems) is different from the philosophers' approach.  ...And I can't say much more than that.  I did add one sentence to this effect, but clearly, a lot more needs to be said in the article somewhere, somehow. --[[User:Larry Sanger|Larry Sanger]] 01:11, 18 July 2011 (UTC)
Arguably, there is no difference between Boolean algebra and formal logic.  But, as far as I know, only mathematicians and computer scientists talk about Boolean algebra per se, and their approach (including the symbols and the typical way of working out the deductive systems) is different from the philosophers' approach.  ...And I can't say much more than that.  I did add one sentence to this effect, but clearly, a lot more needs to be said in the article somewhere, somehow. --[[User:Larry Sanger|Larry Sanger]] 01:11, 18 July 2011 (UTC)
:Larry: I imagine that Peter Schmitt can be more definitive on this subject. However, my guess is that (i) Boolean algebra is in fact not equivalent to formal logic, but is one of several frameworks, and (ii) high school algebra may have elements in common with Boolean algebra, but algebra in the abstract is a much bigger subject than either of these. [[User:John R. Brews|John R. Brews]] 02:10, 18 July 2011 (UTC)

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 Definition A form of logical calculus with two binary operations AND (multiplication, •) and OR (addition, +) and one unary operation NOT (negation, ~) that reverses the truth value of any statement. [d] [e]
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Relationship of Boolean algebra and formal logic

Arguably, there is no difference between Boolean algebra and formal logic. But, as far as I know, only mathematicians and computer scientists talk about Boolean algebra per se, and their approach (including the symbols and the typical way of working out the deductive systems) is different from the philosophers' approach. ...And I can't say much more than that. I did add one sentence to this effect, but clearly, a lot more needs to be said in the article somewhere, somehow. --Larry Sanger 01:11, 18 July 2011 (UTC)

Larry: I imagine that Peter Schmitt can be more definitive on this subject. However, my guess is that (i) Boolean algebra is in fact not equivalent to formal logic, but is one of several frameworks, and (ii) high school algebra may have elements in common with Boolean algebra, but algebra in the abstract is a much bigger subject than either of these. John R. Brews 02:10, 18 July 2011 (UTC)