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Topic: Matheology § 249
Replies: 2   Last Post: Apr 15, 2013 3:11 PM

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Posts: 8,833
Registered: 1/6/11
Re: Matheology � 249
Posted: Apr 15, 2013 3:11 PM
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In article
WM <> wrote:

"As far as the laws of mathematics refer to
reality, they are not certain; and as
far as they are certain, they do not refer
to reality. It seems to me that complete
clearness as to this state of things first
became common property through that new departure
in mathematics which is known by the name of
mathematical logic or ŒAxiomatics.¹ The progress
achieved by axiomatics consists in its having
neatly separated the logical-formal from its
objective or intuitive content; according to
axiomatics the logical-formal alone forms the
subject-matter of mathematics, which is not
concerned with the intuitive or other content
associated with the logical-formal. . . .
[On this view it is clear that] mathematics
as such cannot predicate anything about
perceptual objects or real objects. In
axiomatic geometry the words Œpoint,¹ Œstraight
line,¹ etc., stand only for empty
conceptual schemata."

Albert Einstein

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