Sign-In
Cart
The Philosophy of Mathematics: Exploring the Limits of Mathematical Thought
Paperback
Series: Science and Cosmos
Please select the version of book you would like to purchase.
ISBN13: 9798273692145
Publisher: Independently Published
Published: Nov 9 2025
Pages: 500
Weight: 1.46
Height: 1.01 Width: 6.00 Depth: 9.00
Language: English
Publisher: Independently Published
Published: Nov 9 2025
Pages: 500
Weight: 1.46
Height: 1.01 Width: 6.00 Depth: 9.00
Language: English
Mathematics has long been regarded as the purest expression of truth - a language through which the universe reveals itself. Yet behind every equation stands the human mind that created it.
In this book, Boris Krieger follows the path of mathematics from its simplest intuitions to its highest abstractions, asking what it truly reveals - about reality, and about ourselves. Through lucid reflection and critical insight, he shows that geometry, algebra, topology, and probability are not independent worlds but translations of human perception into structure. Each mathematical breakthrough carries within it the imprint of its maker - our need for order, clarity, and permanence in a changing world.
In this book, Boris Krieger follows the path of mathematics from its simplest intuitions to its highest abstractions, asking what it truly reveals - about reality, and about ourselves. Through lucid reflection and critical insight, he shows that geometry, algebra, topology, and probability are not independent worlds but translations of human perception into structure. Each mathematical breakthrough carries within it the imprint of its maker - our need for order, clarity, and permanence in a changing world.
The Philosophy of Mathematics explores both the brilliance and the boundaries of reason. It examines why every system rests on unprovable assumptions, why every proof is conditional, and why even the most exact model remains an interpretation. Mathematics, Krieger argues, is not the foundation of the universe but one of its mirrors - a reflection of consciousness striving to understand its own limits.
This is not a technical treatise, but a philosophical journey: from the origins of number to the horizons of infinity; from logic to meaning; from abstraction to self-recognition. The book invites readers to rediscover mathematics as a profoundly human enterprise - precise yet imperfect, powerful yet bounded, rational yet born of wonder.
This is not a technical treatise, but a philosophical journey: from the origins of number to the horizons of infinity; from logic to meaning; from abstraction to self-recognition. The book invites readers to rediscover mathematics as a profoundly human enterprise - precise yet imperfect, powerful yet bounded, rational yet born of wonder.
Also from
Kriger, Boris
Why We Don't Fly Like Birds: Gravity, Anatomy, and the Metaphysics of Freedom
Kriger, Boris
Paperback
$28.80
The Evil of Banality: Hannah Arendt, Frames, Awareness, and the Refusal to Look Away
Kriger, Boris
Paperback
$24.00
Freedom from Taxes: Introduction of Automated Payment Transaction Tax and Universal Basic Income
Kriger, Boris
Paperback
$9.60
Cutting the Continuum: Zeno's Paradoxes from the Bounded Observer to the Edge of the Cosmos
Kriger, Boris
Paperback
$28.80
A Theory of the Cinematic Masterpiece in the Generative Era: Temporal Sovereignty, the Carriers of Density, and Why Technical Progress Makes Art Deare
Halushko, Denys
Kriger, Boris
Kriger, Peter
Paperback
$13.20
Absurd Faith for an Absurd World: The Tertullian Paradox in the Age of Unreason
Kriger, Boris
Paperback
$17.20
Guilty Until Proven Innocent: How Accusation Became the World's Favorite Pastime
Kriger, Boris
Paperback
$28.80
The Morality Trap: How Humanity's Noblest Idea Became Its Most Dangerous Weapon
Kriger, Boris
Paperback
$26.40
The Last Absolutism: Why Companies Are the Final Refuge of Autocracy
Kriger, Boris
Kaminski, Jaroslaw F.
Paperback
$28.80
Theories That Outlive Their Reasons: Maxwell, and What Unification Actually Means
Kriger, Boris
Paperback
$32.40
Homo Symbolicus: Ernst Cassirer, the Philosopher Who Won the Argument and Lost the Century
Kriger, Boris
Paperback
$30.00
How Knowledge Breaks and Remakes Itself: Thomas Kuhn and the Secret Life of Scientific Change
Kriger, Boris
Paperback
$28.80
The Declared and the Measured: Duns Scotus and the Distinctions That Made the Modern Mind
Kriger, Boris
Paperback
$28.80
The Bluff of Decolonization in Controlled Chaos: Frantz Fanon and the Invisible Chains
Kriger, Boris
Paperback
$26.40
Why the Universe Is Not a Lottery: Attractors and the End of Cosmic Coincidence
Kriger, Boris
Paperback
$30.00
The Arithmetic of Happiness: How Jeremy Bentham Tried to Count the Human Soul
Kriger, Boris
Paperback
$26.40
Push the Falling Nietzsche: A Plush Bear's Guide to Madness, the Universe, and a Cup of Tea
Kriger, Boris
Paperback
$26.40
The Pointless Classroom: John Dewey, the Loss of Purpose, and the Future of Learning
Kriger, Boris
Paperback
$24.00
Also in
General Mathematics
The Golden Number: Pythagorean Rites and Rhythms in the Development of Western Civilization
Ghyka, Matila C.
Hardcover
$47.50
How It All Works: All Scientific Laws and Phenomena Illustrated & Demonstrated
Dant, Adam
Clegg, Brian
Hardcover
$14.99
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Sands, Matthew
Feynman, Richard P.
Leighton, Robert B.
Paperback
From $10.99
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
From $10.99
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
$59.99
Math Practice Workbook Grades 6-8: 1000+ Questions You Need to Kill in Middle School by Brain Hunter Prep
Brain Hunter Prep
Paperback
$18.99
The Art of Strategy: A Game Theorist's Guide to Success in Business and Life
Nalebuff, Barry J.
Dixit, Avinash K.
Paperback
$18.99
WorkKeys Study Guide and Practice Test Questions: ACT WorkKeys Exam Prep and Review Book with Applied Mathematics, Locating Information, and Reading f
Trivium Exam Prep Team
Paperback
$39.99
Who Gets What -- And Why: The New Economics of Matchmaking and Market Design
Roth, Alvin E.
Paperback
$17.10
Tomoko Fuse's Amazing Kusudama Origami: Geometric Paper Art from Japan's Leading Expert!
Fuse, Tomoko
Paperback
$18.04
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Hardcover
$28.49
Mastering Essential Math Skills Book 2, Bilingual Edition - English/Spanish
Fisher, Richard W.
Paperback
$80.81
Counting with - Contando Con Frida (Bilingual: English/Spanish): A Bilingual Counting Book
Stein, Ariana
Rodriguez, Patty
Hardcover
$9.49
Math Games with Bad Drawings: 75 1/4 Simple, Challenging, Go-Anywhere Games--And Why They Matter
Orlin, Ben
Hardcover
From $19.99
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
$18.99
50 Math Tricks That Will Change Your Life: Mentally Solve the Impossible in Seconds
Zakowich, Tanya
Paperback
$20.89
The Great Math War: How Three Brilliant Minds Fought for the Foundations of Mathematics
Bardi, Jason Socrates
Hardcover
$30.40
Touchthinklearn: Numbers: (Board Books for Baby Learners, Touch Feel Books for Children)
Deneux, Xavier
Hardcover
$16.14
Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology
Ashton, Anthony
Sutton, Daud
Lundy, Miranda
Hardcover
$24.70
Graph Paper Composition Notebook: Quad Ruled 5x5, Grid Paper for Students in Math and Science
Wizo, Math
Paperback
$8.74
Vector: A Surprising Story of Space, Time, and Mathematical Transformation
Arianrhod, Robyn
Hardcover
$26.60
Quantum Mechanics Done Right: The Shortest Path from Novice to Researcher
Freericks, James K.
Hardcover
$83.99
Un Elefante: Numbers / Números (Bilingual: English/Spanish): A Bilingual Counting Book
Stein, Ariana
Rodriguez, Patty
Hardcover
$10.44
A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Oakley, Barbara
Paperback
$19.00
New York Post Fiendish Sudoku: The Official Utterly Addictive Number-Placing Puzzle
Gould, Wayne
Paperback
$10.99
ALEKS Math Placement Test Prep 2026: 1200 Verified Practice Questions with Accurate Answer Keys, Step-by-Step Worked Solutions, and Clear Concept Expl
Reid, Marcus L.
Publishing, Kettford
Paperback
$27.56
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
Benjamin, Arthur
Shermer, Michael
Paperback
$20.90
Partial Differential Equations: Theory and Completely Solved Problems
Leonard, I. E.
Van Roessel, H.
Hillen, T.
Paperback
$42.49
Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning
Liljedahl, Peter
Paperback
$24.99
Concrete Mathematics: A Foundation for Computer Science
Knuth, Donald
Graham, Ronald
Patashnik, Oren
Hardcover
$107.99
180 Days(r) Math for First Grade: Practice, Assess, Diagnose
Smith, Jodene Lynn
Smith, Jodene
Paperback
$22.79
Number Systems and the Foundations of Analysis
Dudley, Underwood
Mathematics
Mendelson, Elliott
Paperback
$18.95
Sudoku for Brain Fitness: 90-Day Challenge to Sharpen the Mind and Strengthen Cognitive Skills
Clontz, Steven
Demyanovich, Julie
Paperback
$12.34
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Expolog
Warren, Peggy
Wright, Susan
Other
$6.60
Talentos Ocultos: La Genialidad No Tiene Color. La Fuerza No Tiene Género. El Valor No Tiene Límite.
Shetterly, Margot Lee
Paperback
$16.14
It's All a Game: The History of Board Games from Monopoly to Settlers of Catan
Donovan, Tristan
Paperback
$21.85
Reaching for the Extreme: How the Quest for the Biggest, Fewest, and Weirdest Makes Math
Stewart, Ian
Hardcover
$28.45
Cybernetics: Or the Control and Communication in the Animal and the Machine
Wiener, Norbert
Paperback
$17.26
300 Math CrossWords: Addition, Subtraction, Multiplication, and Division Math CrossWords Grade 3 and Above, Age +8
Martin, Josh Ortiz
Paperback
$9.59
The Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
Schneider, Michael S.
Paperback
From $9.99
Medical Dosage Calculations for Dummies
Schoenborn, Barry
Snyder, Richard W.
Depuente, Vanessa
Paperback
$33.24
Make: Physics: Build Projects to Explore Calculus-Based Mechanics
Horvath, Joan
Cameron, Rich
Paperback
$37.99