Foundations
Georg Cantor: life, ideas, and mathematical legacy
A CalculatorWiser guide to set theory and different sizes of infinity.
1,325 words · 6 min readRead article →Foundations Articles
Explore articles, explainers, and calculator-linked guides in Foundations.
2,484 articles & explainers139 collectionsQuick reads + deep dives
AllAncient Mathematics 169Manufacturing 40Real Estate 40Science 40Number Systems 32Finance & Money 28Calendars & Time 26Everyday Math 24Data & Computing 23Probability & Statistics 22Agriculture 21Agriculture & Gardening 21Astronomy & Space 21Automotive 21Aviation 21Biology 21Business 21Chemistry 21Construction & DIY 21Content 21Customer Service 21Environment & Ecology 21Ecommerce 21Education 21
More collections
Electronics & Electrical 21Energy 21Energy & Utilities 21Engineering 21Events 21Fitness 21Cooking & Food 21Freelance 21Curiosity 21Health & Fitness 21Home 21Home Projects 21Hospitality 21Human Resources 21Logistics 21Logistics & Freight 21Maintenance 21Athletics 20Business Analytics 20Clean Energy 20Community Events 20Construction Management 20Cybersecurity 20Data Analysis 20Digital Marketing 20Factory 20Farming 20Finance Advanced 20Fundraising 20Gaming 20Gardening 20Hotel Operations 20Household 20It Operations 20Kitchen 20Life Science 20Marine & Boating 20Marketing 20Math & Statistics 20Music 20Music & Audio 20Nonprofit 20Office & Productivity 20Online Store 20Operations 20Personal Productivity 20Pet Care 20Pets & Animals 20Photography 20Photography & Video 20Physics & Engineering 20Program Management 20Project Management 20Property Investing 20Property Management 20Quality 20Retail 20Retail & Inventory 20Safety 20Sales 20School 20Small Business & Ecommerce 20Social Media 20Sports 20Student Math Lab 20Sustainability 20Technology 20Telecommunications 20Time Management 20Travel 20Travel & Hospitality 20Vacation 20Vehicle Ownership 20Warehouse 20Wellness 20Algebra 18Applied Mathematics 15Foundations 13Logic & Computing 11Core Mathematics 11Math Education 11Number Theory 10Famous Problems 9Measurement 9Time & Date 9Geometry 8Women in Mathematics 7Calculus 7History & Origins 7Discrete Mathematics 7Indian Mathematics 6Sequences & Patterns 6History & People 5Chinese Mathematics 5Geometry & Algebra 5Math Instruments 5Islamic Golden Age 4Renaissance Mathematics 4Combinatorics 4Geometry & Patterns 4Bible Math 4Medieval Mathematics 3Modern Mathematics 3Constants & Numbers 3Cryptography 3Math in Culture 3Topology & Geometry 2Analysis & Mechanics 1Analysis 1Geometry & Analysis 1Topology & Dynamics 1Information & Computing 1Algebra & Tools 1Geometry & Number Theory 1Analysis & Signals 1
13 matching posts
Foundations
David Hilbert: life, ideas, and mathematical legacy
A CalculatorWiser guide to axioms, geometry, and influential mathematical problems.
1,582 words · 8 min readRead article →Foundations
Kurt Gödel: life, ideas, and mathematical legacy
A CalculatorWiser guide to incompleteness and mathematical logic.
1,222 words · 6 min readRead article →Foundations
What is set theory?
A CalculatorWiser guide to collections, relations, functions, cardinality, and foundations.
1,628 words · 8 min readRead article →Foundations
Infinity in mathematics
A CalculatorWiser guide to potential infinity, actual infinity, limits, and cardinality.
1,137 words · 6 min readRead article →Foundations
What does a proof do?
A CalculatorWiser guide to the role of definitions, assumptions, logic, and verification.
1,727 words · 8 min readRead article →Foundations
Proof by contradiction
A CalculatorWiser guide to showing an assumption leads to an impossibility.
1,893 words · 9 min readRead article →Foundations
Mathematical induction
A CalculatorWiser guide to proving statements across the natural numbers.
960 words · 5 min readRead article →Foundations
The continuum hypothesis
A CalculatorWiser guide to sizes of infinity and independence from standard axioms.
1,189 words · 6 min readRead article →Foundations
What is a proof?
A quick Math Minute explaining what is a proof.
84 words · 1 min readRead article →Foundations
What is an axiom?
A quick Math Minute explaining what is an axiom.
84 words · 1 min readRead article →Foundations
What is a theorem?
A quick Math Minute explaining what is a theorem.
111 words · 1 min readRead article →Foundations
What is a conjecture?
A quick Math Minute explaining what is a conjecture.
84 words · 1 min readRead article →