
Impossibility
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Content
- Intro
- Contents
- Chapter 1: The art of the impossible
- The power of negative thinking
- Of faces and games
- Those for whom all things are possible
- Paradox
- Visual paradox
- Linguistic paradox
- Limits to certainty
- A cosmic speed limit
- Summary
- Chapter 2: The hope of progress
- Over the rainbow
- The voyage to Polynesia via Telegraph Avenue
- Progress and prejudice
- The big idea of unlimited knowledge
- Negativism
- Some nineteenth-century ideas of the impossible
- Summary
- Chapter 3: Back to the future
- What do we mean by the limits of science?
- Possible futures
- Higgledy-piggledyology
- Selective and absolute limits
- Will we be builders or surgeons?
- The futures market
- How many discoveries are there still to be made?
- Summary
- Chapter 4: Being human
- What are minds for?
- Counting on words
- Modern art and the death of a culture
- Complexity matching: climbing Mount Improbable
- Intractability
- The frontier spirit
- The end of diversity
- Does science always bring about its own demise?
- Death and the death of science
- The psychology of limits
- Summary
- Chapter 5: Technological limits
- Is the Universe economically viable?
- Why we are where we are
- Some consequences of size
- The forces of Nature
- Manipulating the Universe
- Criticality: the riddle of the sands
- Demons: counting the cost
- Two types of future
- Is technological progress inevitable (or always desirable)?-a fable
- Summary
- Chapter 6: Cosmological limits
- The last horizon
- Inflation-still crazy after all these years
- Chaotic inflation
- Is the Universe open or closed?
- Eternal inflation
- The natural selection of universes
- Topology
- Did the Universe have a beginning?
- Naked singularities: the final frontier
- Dimensions
- Symmetry-breaking
- Summary
- Chapter 7: Deep limits
- Patterns in reality
- Paradoxes
- Consistency
- Time travel: is the Universe safe for historians?
- Completeness
- Impossible constructions
- Metaphorical impossibilities
- Summary
- Chapter 8: Impossibility and us
- Gödel's theorem and physics
- Does Gödel stymie physics?
- Gödel, logic, and the human mind
- The problem of free will
- The reaction game
- Mathematics that comes alive
- A stranger sort of impossibility
- The Arrow Impossibility Theorem
- Summary
- Chapter 9: Impossibility: taking stock
- Telling what is from what isn't
- Notes
- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- J
- K
- L
- M
- N
- O
- P
- Q
- R
- S
- T
- U
- V
- W
- Z
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