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A certain mathematical ability to make guesses that we can't put into language quite yet but that turn out to be right once we think them through, which arises both as a natural talent and out of experience of working intensely with the same mathematical objects for a long time.

answered Apr 26 '16 at 10:09
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;) Intuition is just a pretentious word for "enough experience to know how it works without consciously thinking about it". Daniel Fischer AmoonyFashion Womens Pointed Closed Toe KittenHeels Soft Material Solid AnkleHigh PumpsShoes Black 0hFym
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An example. In set theory describing sets intuitively means leaving some terms of a definition undefined and thereby relying on common sense so as to its meaning. Several paradoxes came from this.

In order to avoid these paradoxes an axiomatic approach to set theory arose where attempt was made at greater formalization. Whilst being more precise it is more terse and so not as 'intuitive' and therefore more difficult to grasp without knowing the "local context".

Thereby when someone asks for a an intuitive understanding, they want an answer which is grounded in common sense.

answered Apr 21 '16 at 17:43
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Apr 22 '16 at 6:48
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Apr 22 '16 at 17:01
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I think that questions of the form

are inherently I'll posed.

Some time ago I dared to ask a similar question on some intuition on another SE site and got a comment like

Intuition is not something that is behind some result or proof or such. It's something that is in one's mind. And minds differ. Some people find geometric arguments intuitive, others can't visualize more than two dimensions. Some prefer analogies to ecological or even psychological situations (think of all the riddles involving hats, prisoners and stuff), others get distracted by such analogies.

So I think any answer should state "My intuition is..." or "I explain this to me like...".

What is the intuition behind...

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(f) In accordance with Section 508 of the Rehabilitation Act of 1973 (29 U.S.C. 794d), requiring activities must prepare requirements documents for electronic and information technology that comply with the applicable accessibility standards issued by the Architectural and Transportation Barriers Compliance Board at 36 CFR part 1194 (see Emerica Indicator Low X Mens Green Suede Lace Up Lace Up Sneakers Shoes bMIqM

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