Sentence examples for true mathematics from inspiring English sources

It seems absurd to say that ZF with Choice is true mathematics and ZF without Choice is false mathematics, if they are both legitimate examples of mathematically well-behaved theories.

This same period is sometimes referred to as "mid-school" or a "middle school" in hip hop, the phrase covering acts like Gang Starr, The UMC's, Main Source, Lord Finesse, EPMD, Just Ice, Stetsasonic, True Mathematics, and Mantronix.

It's true that mathematics requires mental exertion.

Thus, the existence of undecidable sentences in each such theory points out an inevitable gap between the sentences that are true in mathematics and sentences that are provable within a single axiomatic theory.

This is also true of mathematics.

Thus, one difference was that for Reading all the Scandinavian countries had relatively high indirect effects, while this was not to the same extent true for Mathematics.

This is true in that mathematics "makes sense" in a very profound manner.

And it is in putting the notes together to create, say, the Goldberg Variations or Don Giovanni that I believe the true connection between mathematics and music reveals itself.

The set of true statements of mathematics is ω-complete in the following sense: given any formula ϕ(x), containing a free variable x of type N, the universal statement ∀x ∊ Nϕ(x) will be true if ϕ(n) is true for each numeral n that is, for n = 0, n = S0, n = SS0, and so on.

From then on, I could concentrate on my true interests: physics, mathematics, and computer science.

Cass, working in 1928, believes one or the other of these statements must be true in classical mathematics but she has no means for determining which is true.