set theory
1
7.6
- noun
- /sɛt ˈθɪəri/
- Specialized
:
teoría de conjuntos
- For example, in set theory, the ZF numbers generated from the empty set by the successor function S(x)=x satisfy the Peano Axioms.
- axioms of set theory
Yeah, in set theory, natural numbers are sets.
- Yeah, in set theory, natural numbers are sets.
- And this is where this LED into an analysis of set theory.
Examples
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Please use some of that sixth-grade set theory to show us how that would work.
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Yeah, in set theory, natural numbers are sets.
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OK, OK, so I said we could just use set theory and we're done.
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So it starts off with set theory, as most math books do.
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And just for practice, let's write that in set theory notation.
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Logic and set theory are also sets of axioms and rules, and in that, they are very similar to mathematics.
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I, for one, find the concept of infinity very confusing, but how can you understand calculus, set theory, logic, or virtually any other branch of mathematics without some kind of understanding of infinity?
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Some look at it from the point of view of analysis (calculus), others—set theory.
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In fact, just the notion of a completed infinite set seems to underlie some of the disturbing paradoxes of set theory (see Craig 1993 for a brief discussion and references).
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In mathematics, set theory explores how different groups of objects relate to one another.
Surface Forms
Morphology
The meaning is directly compositional: 'theory' (a body of ideas) about 'set' (a collection of objects) yields 'the body of ideas about sets.' This follows a common and predictable English naming pattern (X + theory) found across languages, so a B1 learner who knows both constituents would readily infer the meaning.
Etymology
Set theory comes from the simple idea of a set as a 'group' of things and theory as the 'ideas' about how that group works. So, today set theory means the part of math that studies these groups and how they relate.