Sentence examples for the basic propositions from inspiring English sources

So by setting aside the problematic Basic Law V and the derivation of Hume's Principle, one can focus on Frege's derivations of the basic propositions of arithmetic using Hume's Principle as an axiom.

The basic Propositions 2.1 and 2.2 were originally proved for complex valued sequences and functions ( also in ), as well as for, defined over the complex field.

The debate over which resources require an appeal to intuition and which do not is an important one, since Frege dedicated himself to the idea of eliminating appeals to intuition in the proofs of the basic propositions of arithmetic.

Barrow, a thoroughgoing synechist, regarded the conflict between divisionism and atomism as a live issue, and presented a number of arguments against mathematical atomism, the strongest of which is that atomism contradicts many of the basic propositions of Euclidean geometry.

This paper explores joint multiresolution envelope design, extends the basic propositions for envelope design to the multiresolution setting, considers design consistency, and provides experimental support for the joint approach.

However, this poses a difficulty regarding the consistency of Popper's theory: if a theory X is to be genuinely testable (and so scientific) it must be possible to determine whether or not the basic propositions which would, if true, falsify it, are actually true or false (i.e., whether its potential falsifiers are actual falsifiers).

This is the basic proposition of a nation-building multiculturalism.

And the new debate is a means of reawakening and reinvigorating that old debate on the basic proposition of whether there should be capital punishment in the United States.

What matters is the basic proposition: a simple urban bistro, in a town short of them, serving a changing menu of solid, honest dishes.

"The basic proposition here is that somebody who comes into the United States of America illegally, who conducts a terrorist operation killing thousands of innocent Americans -- men, women and children -- is not a lawful combatant," Mr. Cheney said.

At his news conference, he said, "If the basic proposition is 'it's my way or the highway,' we're probably not going to get something done because we've got divided government".