Sign-In
Cart
On Hilbert's Sixth Problem
Hardcover
Series: Synthese Library, Book 441
FictionHistory & Philosophy of SciencePhysics
Please select the version of book you would like to purchase.
ISBN10: 3030838366
ISBN13: 9783030838362
Publisher: Springer Nature
Published: Jan 26 2022
Pages: 191
Weight: 1.03
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
ISBN13: 9783030838362
Publisher: Springer Nature
Published: Jan 26 2022
Pages: 191
Weight: 1.03
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
This book explores the premise that a physical theory is an interpretation of the analytico-canonical formalism. Throughout the text, the investigation stresses that classical mechanics in its Lagrangian formulation is the formal backbone of theoretical physics. The authors start from a presentation of the analytico-canonical formalism for classical mechanics, and its applications in electromagnetism, Schrödinger's quantum mechanics, and field theories such as general relativity and gauge field theories, up to the Higgs mechanism.
The analysis uses the main criterion used by physicists for a theory: to formulate a physical theory we write down a Lagrangian for it. A physical theory is a particular instance of the Lagrangian functional. So, there is already an unified physical theory. One only has to specify the corresponding Lagrangian (or Lagrangian density); the dynamical equations are the associated Euler-Lagrange equations. The theory of Suppes predicates as the main tool inthe axiomatization and examples from the usual theories in physics. For applications, a whole plethora of results from logic that lead to interesting, and sometimes unexpected, consequences.This volume looks at where our physics happen and which mathematical universe we require for the description of our concrete physical events. It also explores if we use the constructive universe or if we need set-theoretically generic spacetimes.
1 different editions
Also available
Also in
History & Philosophy of Science
The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures
Renn, Jürgen
Gutfreund, Hanoch
Hardcover
$66.00
Physics of the Future: How Science Will Shape Human Destiny and Our Daily Lives by the Year 2100
Kaku, Michio
Hardcover
$9.99
The Darkness Manifesto: On Light Pollution, Night Ecology, and the Ancient Rhythms That Sustain Life
Eklöf, Johan
Hardcover
$12.99
The Mystery of Life Energy: Biofield Healing, Phantom Limbs, Group Energetics, and Gaia Consciousness
Leskowitz, Eric
Paperback
From $11.99
The Day It Finally Happens: Alien Contact, Dinosaur Parks, Immortal Humans--And Other Possible Phenomena
Pearl, Mike
Paperback
$19.00
The Self-Actualizing Cosmos: The Akasha Revolution in Science and Human Consciousness
Laszlo, Ervin
Paperback
From $9.99
The Edge of Space-Time: Particles, Poetry, and the Cosmic Dream Boogie
Prescod-Weinstein, Chanda
Hardcover
$28.80
I Told You So!: Scientists Who Were Ridiculed, Exiled, and Imprisoned for Being Right
Kaplan, Matt
Hardcover
$28.50
The Agi Chronicles: The Inside Story of the Race to Create an Artificial Superintelligence
Roose, Kevin
Hardcover
$31.35
Hidden Creatures: Luscious Leeches, Bashful Botflies, and the Wondrous, History-Shaping World of Parasites
Martins, Dino
Hardcover
$27.00
The Earth Said Remember Me: How to Revive Our Memories and Restore the Planet
Mark, Jason Dove
Hardcover
$22.49
Prophecy: Prediction, Power, and the Fight for the Future, from Ancient Oracles to AI
Veliz, Carissa
Hardcover
From $19.99
Other Minds: The Octopus, the Sea, and the Deep Origins of Consciousness
Godfrey-Smith, Peter
Paperback
$19.00
Return of the God Hypothesis: Three Scientific Discoveries That Reveal the Mind Behind the Universe
Meyer, Stephen C.
Paperback
$23.74
When Everyone Knows That Everyone Knows . . .: Common Knowledge and the Mysteries of Money, Power, and Everyday Life
Pinker, Steven
Hardcover
From $14.99
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Leighton, Robert B.
Sands, Matthew
Feynman, Richard P.
Paperback
$15.29
Why We Ask Why: The Science of Explanation and the Human Drive to Understand
Lombrozo, Tania
Hardcover
$28.50
Original Sin: On the Genetics of Vice, the Problem of Blame, and the Future of Forgiveness
Harden, Kathryn Paige
Hardcover
$27.00
What Sheep Think about the Weather: How to Listen to What Animals Are Trying to Say
Thomas, Amelia
Paperback
$16.19
What If? 2: Additional Serious Scientific Answers to Absurd Hypothetical Questions
Munroe, Randall
Hardcover
$28.50
2084 and the AI Revolution, Updated and Expanded Edition: How Artificial Intelligence Informs Our Future
Lennox, John C.
Paperback
$26.59
The Disordered Cosmos: A Journey Into Dark Matter, Spacetime, and Dreams Deferred
Prescod-Weinstein, Chanda
Paperback
$18.99
Magnifica Humanitas: Encyclical on Safeguarding the Human Person in the Time of Artificial Intelligence
Prevost, Robert
Paperback
$18.99
The Pleasure of Finding Things Out: The Best Short Works of Richard P. Feynman
Feynman, Richard P.
Paperback
$18.04
Do Aliens Speak Physics?: And Other Questions about Science and the Nature of Reality
Whiteson, Daniel
Warner, Andy
Hardcover
$26.99
Notes on Complexity: A Scientific Theory of Connection, Consciousness, and Being
Theise, Neil
Paperback
$18.00
Everything All at Once: How to Think Like a Science Guy, Solve Any Problem, and Make a Better World
Nye, Bill
Paperback
From $9.99
Technology and Barbarism: Or: How Billionaires Will Save Us from the End of the World
Nieva, Michel
Paperback
$18.00
Unvaccinated Under God: Religion and Vaccine Hesitancy in Modern America
Kieffer, Kira Ganga
Hardcover
$44.93
The Real Anthony Fauci: Bill Gates, Big Pharma, and the Global War on Democracy and Public Health
Kennedy, Robert F., Jr.
Hardcover
$30.88
The Blind Spot: Why Science Cannot Ignore Human Experience
Gleiser, Marcelo
Thompson, Evan
Frank, Adam
Paperback
$23.70
Aristotle's Revenge: The Metaphysical Foundations of Physical and Biological Science
Feser, Edward
Paperback
$47.88
A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Oakley, Barbara
Paperback
$19.00
Living on Earth: Forests, Corals, Consciousness, and the Making of the World
Godfrey-Smith, Peter
Paperback
From $11.99
Scientific Facts in the Bible: 100 Reasons to Believe the Bible is Supernatural in Origin
Comfort, Ray
Paperback
$8.54
Misguided: Where Misinformation Starts, How It Spreads, and What to Do about It
Facciani, Matthew
Paperback
$60.00
The Fabric of Reality: The Science of Parallel Universes--And Its Implications
Deutsch, David
Paperback
$17.10
There Are Places in the World Where Rules Are Less Important Than Kindness: And Other Thoughts on Physics, Philosophy and the World
Rovelli, Carlo
Paperback
From $11.99
Finding Darwin's God: A Scientist's Search for Common Ground Between God and Evolution
Miller, Kenneth R.
Paperback
$18.04
The Science of Last Things: Essays on Deep Time and the Boundaries of the Self
Wayland-Smith, Ellen
Paperback
$16.20
When Everyone Knows That Everyone Knows . . .: Common Knowledge and the Mysteries of Money, Power, and Everyday Life
Pinker, Steven
Paperback
$19.80
Everyday Extraordinary: A Scientist Ponders a Lifetime of Magical, Bizarre, and Paranormal Experiences
Markovsky, Barry
Hardcover
$28.45
Return of the God Hypothesis: Three Scientific Discoveries That Reveal the Mind Behind the Universe
Meyer, Stephen C.
Hardcover
$30.88
For Small Creatures Such as We: Rituals for Finding Meaning in Our Unlikely World
Sagan, Sasha
Paperback
$20.90
The Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
Schneider, Michael S.
Paperback
$18.99
The Case for a Creator: A Journalist Investigates Scientific Evidence That Points Toward God
Strobel, Lee
Paperback
$18.99
The Darkness Manifesto: On Light Pollution, Night Ecology, and the Ancient Rhythms That Sustain Life
Eklöf, Johan
Paperback
From $11.99
The Skeptics' Guide to the Universe: How to Know What's Really Real in a World Increasingly Full of Fake
Novella, Steven
Paperback
From $9.99
Ignorance: What We Do Not Know, Cannot Know, Must Not Know, and Refuse to Know
Szpiro, George G.
Hardcover
$42.00
Merchants of Doubt: How a Handful of Scientists Obscured the Truth on Issues from Tobacco Smoke to Climate Change
Conway, Erik M.
Oreskes, Naomi
Paperback
$18.99
How the World Really Works: The Science Behind How We Got Here and Where We're Going
Smil, Vaclav
Paperback
$17.10
War on Ivermectin: The Medicine That Saved Millions and Could Have Ended the Pandemic
Kory, Pierre
McCarthy, Jenna
Hardcover
$30.88
The Passing of the Great Race: The Racial Basis of European History (With Original 1916 Illustrations in Full Color)
Grant, Madison
Hardcover
$28.11
(Super) Natural Science: The Real Science of Superheroes, Mythic Creatures, and the (Sci-Fi) Universe
Liu, Charles
Paperback
$23.70
Moral AI: And How We Get There
Conitzer, Vincent
Borg, Jana Schaich
Sinnott-Armstrong, Walter
Paperback
$18.99
The Random Universe: How Models and Probability Help Us Make Sense of the Cosmos
Jaffe, Andrew H.
Hardcover
$30.88
Until the End of Time: Mind, Matter, and Our Search for Meaning in an Evolving Universe
Greene, Brian
Paperback
$18.05
Forgotten Landscapes: How Native Americans Created Pre-Columbian North America and What We Can Learn from It
Rice, Stanley A.
Hardcover
$28.45
The Battle for Your Brain: Defending the Right to Think Freely in the Age of Neurotechnology
Farahany, Nita A.
Paperback
$19.00
Superconvergence: How the Genetics, Biotech, and AI Revolutions Will Transform Our Lives, Work, and World
Metzl, Jamie
Paperback
$20.89
This Will Make You Smarter: New Scientific Concepts to Improve Your Thinking
Brockman, John
Paperback
From $11.99
Beyond the Quantum: A Quest for the Origin and Hidden Meaning of Quantum Mechanics
Valentini, Antony
Hardcover
$50.75
Meeting the Universe Halfway: Quantum Physics and the Entanglement of Matter and Meaning
Barad, Karen
Paperback
$48.93
Theory and Reality: An Introduction to the Philosophy of Science, Second Edition
Godfrey-Smith, Peter
Paperback
$52.43