Chance, Calculation and Life

Chance, Calculation and Life
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Chance, Calculation and Life brings together 16 original papers from the colloquium of the same name, organized by the International Cultural Center of Cerisy in 2019. From mathematics to the humanities and biology, there are many concepts and questions related to chance. What are the different types of chance? Does chance correspond to a lack of knowledge about the causes of events, or is there a truly intrinsic and irreducible chance? Does chance preside over our decisions? Does it govern evolution? Is it at the origin of life? What part do chance and necessity play in biology? This book answers these fundamental questions by bringing together the clear and richly documented contributions of mathematicians, physicists, biologists and philosophers who make this book an incomparable tool for work and reflection.

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Группа авторов. Chance, Calculation and Life

Table of Contents

List of Illustrations

Guide

Pages

Chance, Calculation and Life. A Journey Beyond Appearances

Preface

A long cultural tradition

A like-minded original project

A regularly supported action

Introduction

Acknowledgments

In memoriam

Reference

1. Classical, Quantum and Biological Randomness as Relative Unpredictability

1.1. Introduction

1.1.1. Brief historical overview

1.1.2. Preliminary remarks

1.2. Randomness in classical dynamics

1.3. Quantum randomness

1.4. Randomness in biology

1.5. Random sequences: a theory invariant approach

1.6. Classical and quantum randomness revisited. 1.6.1. Classical versus algorithmic randomness

1.6.2. Quantum versus algorithmic randomness

1.7. Conclusion and opening: toward a proper biological randomness

1.8. Acknowledgments

1.9. References

2. In The Name of Chance

2.1. The birth of probabilities and games of chance

2.1.1. Solutions

2.1.1.1. The Prince of Tuscany’s problem for Galileo

2.1.1.2. Chevalier de Méré’s problem for Pascal

2.1.2. To what end?

2.2. A very brief history of probabilities

2.3. Chance? What chance?

2.4. Prospective possibility

2.4.1. LLN + CLT + ENIAC = MC

2.4.2. Generating chance through numbers

2.4.3. Going back the other way

2.4.4. Prospective possibility as master of the world?

2.5. Appendix: Congruent generators, can prospective chance be periodic? 2.5.1. A little modulo n arithmetic

2.5.2. From erratic arithmetic to algorithmic randomness

2.5.3. And, the winner is... Mersenne Twister 623

2.6. References

3. Chance in a Few Languages

3.1. Classical Sanskrit

3.2. Persian and Arabic

3.3. Ancient Greek

3.4. Russian

3.5. Latin

3.6. French

3.7. English

3.8. Dice, chance and the symbolic world

3.9. References

4. The Collective Determinism of Quantum Randomness

4.1. True or false chance

4.2. Chance sneaks into uncertainty

4.3. The world of the infinitely small

4.4. A more figurative example

4.5. Einstein’s act of resistance

4.6. Schrödinger’s cat to neutrino oscillations

4.7. Chance versus the anthropic principle

4.8. And luck in life?

4.9. Chance and freedom

5. Wave-Particle Chaos to the Stability of Living. 5.1. Introduction

5.2. The chaos of the wave-particle

5.3. The stability of living things

5.4. Conclusion

5.5. Acknowledgments

5.6. References

6. Chance in Cosmology: Random and Turbulent Creation of Multiple Cosmos

6.1. Is quantum cosmology oxymoronic?

6.2. Between two realities – at the entrance and exit – is virtuality

6.3. Who will sing the metamorphoses of this high vacuum?

6.4. Loop lament

6.5. The quantum vacuum exists, Casimir has met it

6.6. The generosity of the quantum vacuum

6.7. Landscapes

6.8. The good works of Inflation

6.9. Sub species aeternitatis

6.10. The smiling vacuum

7. The Chance in Decision: When Neurons Flip a Coin

7.1. A very subjective utility

7.2. A minimum rationality

7.3. There is noise in the choices

7.4. On the volatility of parameters

7.5. When the brain wears rose-tinted glasses

7.6. The neurons that take a vote

7.7. The will to move an index finger

7.8. Free will in debate

7.9. The virtue of chance

7.10. References

8. To Have a Sense of Life: A Poetic Reconnaissance

8.1. References

9. Divine Chance. 9.1. Thinking by chance

9.2. Chance, need: why choose?

9.3. When chance is not chance

9.4. When chance comes from elsewhere

10. Chance and the Creative Process. 10.1. Introduction

10.2. Chance

10.3. Creation

10.4. Chance in the artistic creative process

10.5. An art of the present moment

10.6. Conclusion

10.7. References

11. Epigenetics, DNA and Chromatin Dynamics: Where is the Chance and Where is the Necessity? 11.1. Introduction

11.2. Random combinations

11.3. Random alterations

11.4. Beyond the gene

11.5. Epigenetic variation

11.6. Concluding remarks

11.7. Acknowledgments

11.8. References

12. When Acquired Characteristics Become Heritable: The Lesson of Genomes

12.1. Introduction

12.2. Horizontal genetic exchange in prokaryotes

12.3. Two specificities of eukaryotes theoretically oppose horizontal gene transfer

12.4. Criteria for genomic analysis

12.5. Abundance of horizontal transfers in unicellular eukaryotes

12.6. Remarkable horizontal genetic transfers in pluricellular eukaryotes

12.7. Main mechanisms of horizontal genetic transfers

12.8. Introgressions and limits to the concept of species

12.9. Conclusion

12.10. References

13. The Evolutionary Trajectories of Organisms are Not Stochastic. 13.1. Evolution and stochasticity: a few metaphors

13.2. The Gouldian metaphor of the “replay” of evolution

13.3. The replay of evolution: what happened

13.4. Evolutionary replay experiments

13.5. Phylogenies versus experiments

13.6. Stochasticity, evolution and extinction

13.7. Conclusion

13.8. References

14. Evolution in the Face of Chance. 14.1. Introduction

14.2. Waddington and the concept of canalization

14.3. A stochastic model of Darwinian evolution. 14.3.1. Redundancy and neutral networks

14.3.2. A toy model

14.3.3. Mutation-selection algorithm

14.4. Numerical results. 14.4.1. Canalization

14.4.2. Target selection

14.4.3. Neighborhood selection

14.5. Discussion

14.6. Acknowledgments

15. Chance, Contingency and the Origins of Life: Some Historical Issues

15.1. Acknowledgments

15.2. References

16. Chance, Complexity and the Idea of a Universal Ethics1

16.1. Cosmic evolution and advances in computation

16.2. Two notions of complexity

16.3. Biological computations

16.4. Energy and emergy

16.5. What we hold onto

16.6. Noah knew this already!

16.7. Create, protect and collect

16.8. An ethics of organized complexity

16.9. Not so easy

16.10. References

List of Authors

Index. A, B

C

D, E

F, G

H, I

L

M, N

O, P

Q, R

S

T, U

V, W

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Series EditorJean-Charles Pomerol

.....

As we can guess from the discussion of the four sequences above, randomness can be refuted, but cannot be mathematically proved: we can never be sure that a sequence is “random”, there are only forms and degrees of randomness (Calude 2002; Downey and Hirschfeldt 2010).

Finally, note that similarly to randomness in classical dynamics, which was made intelligible by Poincaré’s negative result, AIT is also rooted in a negative result: Gödel’s incompleteness theorem. As recalled above, a random sequence is a highly incomputable sequence. That is, algorithmic randomness is in a certain sense a refinement of Gödel’s undecidability, as it gives a fine hierarchy of incomputable sets that may be related, as we will hint below, to relevant forms of randomness in natural sciences.

.....

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