Sentence examples for without the principle from inspiring English sources

Aristotle says that without the principle of non-contradiction we could not know anything that we do know.

Intuitionistic logic, which is the logic of most other forms of constructivism as well, is often referred to as "classical logic without the principle of the excluded middle".

On some understandings, intuitionistic logic turns out formally to be a subsystem of classical logic (namely, classical logic without the Principle of the Excluded Middle).

If truth is taken as 'truth-for-S' (i.e. truth for a species), such that the hyphenisation is irreducible, then one and the same judgment can be true-for-S1 and false-for-S2 without the Principle of Non-Contradiction being violated (Meiland 1977, 571).

Note that even without the principle that natural and forced motions come in pairs of contraries Aristotle could establish the existence of an eternal celestial element, which performs the eternal heavenly revolutions as its natural motions (De caelo 1.2, 269b2-12, and see 1.3, 270b11-16 and b4-11).

No church can move to the next level in ministry and begin operating as a cutting edge church or ministry without the principle of excellence.

This would introduce an element of personalisation without sacrificing the principle of collective solidarity.

A Bayer spokesman, describing the company as a "responsible corporate citizen" said: "The EC has relied too heavily on the precautionary principle, without taking the principle of proportionality into account".

It may not be easy for Democrats to leave past battles behind, but they can greatly improve the process by agreeing to Republican requests for expedited procedures without circumventing the principle that nominations must be thoroughly examined in committee.

"The challenge was to find a way of inserting a greater political dimension into this process without compromising the principle of zero tolerance for terrorism," one senior administration official said.

This neutrality was maintained during the Franco-German War (1870 71), in which the problems of interning a French army on Swiss soil eventually led to military reforms along the Prussian model without abolishing the principle of a militia army.