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Springer Affect Imagery Consciousness v. 1 by Silvan S. Tomkins
Silvan S. Tomkins was indeed one of history's most original psychologists, a tireless scientist who contributed much to that discipline. ""Affect Imagery Consciousness"" was his life's work and consumed him from the mid 1950s through the end of his life in 1991. With this book, he took on an enormous task; he sought to explore emotions, or affects, why we had them, why we paid attention to them, and how they motivated us to respond to situations in our daily lives.Tomkins believed that ""all life is 'affective life,' all behavior, thought, planning, wishing, doing...there is no moment when we are free from affect, no situation in which affect is unimportant."" He identified nine innate affects that humans possess, and from these, discovered a set of four highly specific behavioral requirements known as ""The Tomkins Blueprint for Individual Mental Health"", which states: as humans, we are motivated to savor and maximize positive affect. We enjoy what feels good and do what we can to find and maintain more of it; we are inherently biased to minimize negative affect; the system works best when we express all of our affects; and, anything that increases our power to accomplish these goals is good for mental health, anything that reduces this power is bad for mental health.These nine affects and this blueprint serve as a foundation for much of Tomkins' research and theories discussed in the volumes of ""Affect Imagery Consciousness""._x000D_ Table of contents :- _x000D_
1 Axioms for the Field ? of Real Numbers.- 1.1. The field axioms.- 1.2. The order axioms.- 1.3. Bounded sets, LUB and GLB.- 1.4. The completeness axiom (existence of LUB's).- 2 First Properties of ?.- 2.1. Dual of the completeness axiom (existence of GLB's).- 2.2. Archimedean property.- 2.3. Bracket function.- 2.4. Density of the rationals.- 2.5. Monotone sequences.- 2.6. Theorem on nested intervals.- 2.7. Dedekind cut property.- 2.8. Square roots.- 2.9. Absolute value.- 3 Sequences of Real Numbers, Convergence.- 3.1. Bounded sequences.- 3.2. Ultimately, frequently.- 3.3. Null sequences.- 3.4. Convergent sequences.- 3.5. Subsequences, Weierstrass-Bolzano theorem.- 3.6. Cauchy's criterion for convergence.- 3.7. limsup and liminf of a bounded sequence.- 4 Special Subsets of ?.- 4.1. Intervals.- 4.2. Closed sets.- 4.3. Open sets, neighborhoods.- 4.4. Finite and infinite sets.- 4.5. Heine-Borel covering theorem.- 5 Continuity.- 5.1. Functions, direct images, inverse images.- 5.2. Continuity at a point.- 5.3. Algebra of continuity.- 5.4. Continuous functions.- 5.5. One-sided continuity.- 5.6. Composition.- 6 Continuous Functions on an Interval.- 6.1. Intermediate value theorem.- 6.2. n'th roots.- 6.3. Continuous functions on a closed interval.- 6.4. Monotonic continuous functions.- 6.5. Inverse function theorem.- 6.6. Uniform continuity.- 7 Limits of Functions.- 7.1. Deleted neighborhoods.- 7.2. Limits.- 7.3. Limits and continuity.- 7.4. ?,?characterization of limits.- 7.5. Algebra of limits.- 8 Derivatives.- 8.1. Differentiability.- 8.2. Algebra of derivatives.- 8.3. Composition (Chain Rule).- 8.4. Local max and min.- 8.5. Mean value theorem.- 9 Riemann Integral.- 9.1. Upper and lower integrals: the machinery.- 9.2. First properties of upper and lower integrals.- 9.3. Indefinite upper and lower integrals.- 9.4. Riemann-integrable functions.- 9.5. An application: log and exp.- 9.6. Piecewise pleasant functions.- 9.7. Darboux's theorem.- 9.8. The integral as a limit of Riemann sums.- 10 Infinite Series.- 10.1. Infinite series: convergence, divergence.- 10.2. Algebra of convergence.- 10.3. Positive-term series.- 10.4. Absolute convergence.- 11 Beyond the Riemann Integral.- 11.1 Negligible sets.- 11.2 Absolutely continuous functions.- 11.3 The uniqueness theorem.- 11.4 Lebesgue's criterion for Riemann-integrability.- 11.5 Lebesgue-integrable functions.- A.1 Proofs, logical shorthand.- A.2 Set notations.- A.3 Functions.- A.4 Integers.- Index of Notations._x000D_