I challenge you to describe something in a foreign language that can't be
formulated in English?  If necessary, I will just incorporate whatever
foreign word you say into English to make sure I win!  Obviously every
language is English, right?

 

So who should design projects in CS, Mathematicians or Computer Scientists?
Should the point of view used to define a program depend on CS concerns like
efficiency, the real world etc or should it depend on theoretically perfect
Mathematical constructs?

 

I am not trying to play "one up man ship" on Mathematics!

 

Like Rodney Dangerfield, I just don't think we get our due respect!

 

David Clark

 

PS Does it matter if you don't feel slighted or not?  Does your data point
negate my argument?

 

From: Aaron Hosford [mailto:[email protected]] 
Sent: January-07-13 6:51 PM
To: AGI
Subject: Re: [agi] Why Logic & Maths Have Sweet FA to do with Real world
reasoning

 

To an extent, I agree. Computer Science requires math in the same way that
Physics requires math. You can't do either without it, but neither is merely
math.

 

However, I challenge you to name one computational construct which cannot be
formulated in mathematics. Mathematics could be looked at as a technical,
symbolic language, like any programming language, but this wouldn't quite be
correct. In fact, mathematics is the union of all such technical, symbolic
languages, plus the axiomatic truths which can be expressed in them, which
means that if you invent a subject technical enough to require its own
symbolic language but which isn't covered my mathematics, mathematics will
shortly spread to include it by nature of its definition.

 

I am a CS "specialist", and a mathematics enthusiast. I am not demeaned in
the slightest by the statement that all computation can be expressed
mathematically, anymore than a physicist is demeaned by stating that all
physics can be expressed mathematically. It's the truth, but it doesn't mean
that if you know math, you know CS or Physics, because each of those fields
has its own truths that don't come automatically with the language used to
express them.

 




-------------------------------------------
AGI
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