Book contents
- Frontmatter
- Contents
- Foreword
- 1 The Biology of Logic
- 2 The Evolutionary Derivation of Life-History Strategy Theory
- 3 The Evolutionary Derivation of Decision Logic
- 4 The Evolutionary Derivation of Inductive Logic (Part I)
- 5 The Evolutionary Derivation of Deductive Logic
- 6 The Evolutionary Derivation of Inductive Logic (Part II)
- 7 The Evolutionary Derivation of Mathematics
- 8 Broadening the Evolutionary Foundation of Classical Logic
- 9 The Evolutionary Derivation of Nonclassical Logics
- 10 Radical Reductionism in Logic
- 11 Toward a Unified Science of Reason
- Appendix: Formal Theory
- References
- Index
8 - Broadening the Evolutionary Foundation of Classical Logic
Published online by Cambridge University Press: 18 December 2009
- Frontmatter
- Contents
- Foreword
- 1 The Biology of Logic
- 2 The Evolutionary Derivation of Life-History Strategy Theory
- 3 The Evolutionary Derivation of Decision Logic
- 4 The Evolutionary Derivation of Inductive Logic (Part I)
- 5 The Evolutionary Derivation of Deductive Logic
- 6 The Evolutionary Derivation of Inductive Logic (Part II)
- 7 The Evolutionary Derivation of Mathematics
- 8 Broadening the Evolutionary Foundation of Classical Logic
- 9 The Evolutionary Derivation of Nonclassical Logics
- 10 Radical Reductionism in Logic
- 11 Toward a Unified Science of Reason
- Appendix: Formal Theory
- References
- Index
Summary
Model 1, the bundle of evolutionary conditions on which the ladder has rested to this point, is alarmingly simplistic. It is essentially a repository of all the simplifying assumptions that make for easy mathematical analysis of a population process. Among other restrictive features it does not allow for natural limitations on population size, nor does it take into account sexual reproduction.
In this chapter it will be seen that the latter two restrictions, at least, can be eased without changing the kind of logic produced. The analyses of how these constraints can be lifted are intended as case studies. They suggest that the biological foundations of the classical logic are not limited to Model 1, but can be made considerably more accommodating of realistic biological complexity. The evolutionary underpinning for the classical logic is a good deal broader than Model 1 alone might have made it appear.
TRAIT-NEUTRAL REGULATION
As noted by Darwin, a population growing unchecked at a constant proportional rate would soon run out of standing room. Exponential expansion simply cannot be kept up. It is important then, if realism is to be respected, that the effect of population-limiting contingencies be incorporated into the model somehow, and not ignored entirely as in Model 1.
The factors that constrain population growth are commonly called ‘regulatory’ conditions. Regulation will accordingly be used here as a cover term for all growth-limiting mechanisms. Regulation has to be taken into account in any process model that pretends to even rudimentary completeness over substantial evolutionary time periods.
- Type
- Chapter
- Information
- The Evolution of ReasonLogic as a Branch of Biology, pp. 136 - 145Publisher: Cambridge University PressPrint publication year: 2001