Postulate in a sentence

Beginning to suspect that it was impossible to prove the Parallel Postulate, they set out to develop a self-consistent geometry in which that postulate was false.

In all approaches, however, there is an axiom which is logically equivalent to Euclid's fifth postulate, the parallel postulate.

The 18th and 19th centuries Non-Euclidean geometry The very old problem of proving Euclid’s Fifth Postulate, the " Parallel Postulate ", from his first four postulates had never been forgotten.

The concept of a 'good observation' is the projection postulate in disguise and Everett's analysis simply derives this postulate by having assumed it, without any discussion.

Where the angle is a right angle, also known as the Hypotenuse-Leg (HL) postulate or the Right-angle-Hypotenuse-Side (RHS) condition, the third side can be calculated using the Pythagorean Theorem thus allowing the SSS postulate to be applied.

In a second parliamentary postulate, the party wants to know whether universities consider political diversity to be an objective and, if so, how important this objective is.

Speaking stringently against those who postulate that there’s too much money in the game, the anchor argued that there was nothing wrong with supremely talented young men getting their due.

The second postulate, formulated on the result of the famous Michelson-Morley experiment, imposed the requirement of a constant velocity of light in every reference system.

Three be better than two if that second postulate were true, but it plainly isn’t.

A native of Fulda, Ind., he entered the Marianist postulate at Mount St. John in Dayton in 1946, and professed first vows in 1949.

Indeed, without the implicit postulate that Trump could not have won the presidency without massive and decisive external intervention, the bare facts of the Russian meddling story fall on their own face.

A common approach found in many textbooks is to take the equal a priori probability postulate.

A distinction may be made between exclusive monotheism, and both inclusive monotheism and pluriform ( panentheistic ) monotheism which, while recognising many distinct gods, postulate some underlying unity.

Also, according to the so-called "clock postulate", physical acceleration of clocks doesn't contribute to the kinematical effects of special relativity.

Although Schopenhauer could see no justification for trying to prove Euclid's parallel postulate, he did see a reason for examining another of Euclid's axioms.

Among others these tweaks will have the effect of modifying Euclid's second postulate from the statement that line segments can be extended indefinitely to the statement that lines are unbounded.

Analogous to those, are the 'contemporary' games, ones that simulate current forces and postulate what an actual war involving them would be like.

Another name for a non-logical axiom is postulate.

Arguments that God does not exist In Nyayasutra's Book 4, Chapter 1, verses 19-21, postulates God exists, states a consequence, then presents contrary evidence, and from contradiction concludes that the postulate must be invalid.

As the first 28 propositions of Euclid (in The Elements) do not require the use of the parallel postulate or anything equivalent to it, they are all true statements in absolute geometry.