Sentences with phrase «of twoness»

What we have done here is (a) accept that mathematics arises from experience, (b) recognize that we can get a general idea of twoness from our experience, (c) accept constraints on our experience — what we can assert as existing and what we can construct — by accepting some formal system, in this case a system defining set theory, and (d) acknowledge that we can define precisely within that system what we mean by number, successor of a number and in the process twoness.

Even though the definition of twoness within the System is radically abstract, it arises out of a common understanding of twoness in our experience.

We say that the set of cow and rock has the numerical property of twoness.

This idea of twoness above is not as vague as it sounds, for we can agree on a certain arbitrary model set containing what we call two things, our cow and rock if we wish, got by counting or other means, and declare that any other set has two things if it can be put in one - to - one correspondence (in modern terminology, bijective correspondence) with our model set.

Not exact matches

Jesus extrapolated a limitation of two persons in a sexual union (serially or concurrently) from the foundational twoness of the sexes established at creation (Mark 10:6 - 9).

The point, which she apparently missed, is that Jesus extrapolated his position about limiting the number of partners in a sexual union to two based on the twoness of the sexes, «male and female,» which in turn establishes a male - female prerequisite as foundational.

The chastening but hopefully enlivening effect of imagining the world without fantasy bolt - holes... The understanding that our «twoness» is inherently contemporary, even futuristic, said Martine in one of her lectures.