Jeff Rubard
2010-01-22 05:06:45 UTC
http://www.amazon.com/Non-standard-Analysis-Abraham-Robinson/dp/0691044902/ref=sr_1_1?ie=UTF8&s=books&qid=1264136699&sr=1-1
*Whateva*. Abby's premise is that *extremely complicated* model-
theoretic apparatus makes an "infinitesimal" presentation of the
differential and integral calculus feasible; and so it is -- like *any
logical stunt* -- but the *convenientia* between the Leibnizian
integrands and Newtonian 'fluxions' [*right*] is *patent*. 'The
calculus' comes together and it *still does*: The Lesson of Analysis
[numerical incl.] is that differential-and-integral calculus was /
already/ a rehash of "all the algebraic geometry and *modular*
arithmetic you recall" and /accepted thusly/ and can be created *ever
new*, even by *non-Yalie hands*, if one has an iota of sense about
"what goes around" and the variable speeds at which it travels.
Abraham Robinson (1918-1974)
*Whateva*. Abby's premise is that *extremely complicated* model-
theoretic apparatus makes an "infinitesimal" presentation of the
differential and integral calculus feasible; and so it is -- like *any
logical stunt* -- but the *convenientia* between the Leibnizian
integrands and Newtonian 'fluxions' [*right*] is *patent*. 'The
calculus' comes together and it *still does*: The Lesson of Analysis
[numerical incl.] is that differential-and-integral calculus was /
already/ a rehash of "all the algebraic geometry and *modular*
arithmetic you recall" and /accepted thusly/ and can be created *ever
new*, even by *non-Yalie hands*, if one has an iota of sense about
"what goes around" and the variable speeds at which it travels.
Abraham Robinson (1918-1974)