Sentence examples for development of set from inspiring English sources

In contrast to naive set theory, the attitude adopted in an axiomatic development of set theory is that it is not necessary to know what the "things" are that are called "sets" or what the relation of membership means.

(See the entries on interpretations of probability, the early development of set theory, and set theory).

As one can see, the Polish school led by Sierpiński had a very central role in the development of set theory between the Wars.

The rapid development of set theory in the last fifty years, mainly in obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line.

See the entry on the early development of set theory for a discussion of the origin of set-theoretic ideas and their use by different mathematicians and philosophers before and around Cantor's time.

Finally, in the further development of set theory in the twentieth century it became clear that several of Dedekind's original results and procedures can be generalized in important ways.

The generic tools developed for the Galaxy environment enable rapid development of sets of PCR assays targeting sequence variants identified from Illumina and 454 sequence data.

However, woodcocks may benefit from the recent development of set-asides, grass field-borders and simplified farm practices (no-tillage and direct sowing).

With the development of set-valued analysis, some researchers studied the super efficient solutions for vector optimization problems with set-valued maps.

These pathways imply distinct regulatory mechanisms that control the development of sets of flight muscles and the muscles of the leg.

The issue of monitoring and evaluating performance regained new attention and this led to new frameworks including the development of sets of indicators and of monitoring strategies [ 76, 77].