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Functional Analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view tu
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[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing—one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.
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I explain it to clients this way: “Sometimes it’s hard to know what our payoffs are for doing this stuff—there could be so many different factors involved—but basically all of our payoffs boil down to just four things: (1) we get away from something we don’t want; (2) we get something that we do want; (3) we get to escape unwanted feelings; (4) we get to feel good. Often our payoffs are a mixture of all those things.Do you think any of those apply to you in this case?”
[...] Remember, there wi
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― ACT Questions and Answers: A Practitioner's Guide to 150 Common Sticking Points in Acceptance and Commitment Therapy
― ACT Questions and Answers: A Practitioner's Guide to 150 Common Sticking Points in Acceptance and Commitment Therapy
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