Philosophy

Aim

The aim of this project is to provide mathematics students / enthusiasts with unique tips and also mathematical proofs related to equations / formulas used in GCSE and A Level mathematics.

Philosophy: The scientific method or ‘Nullius en verba’

You’ll find that the philosophy here is the scientific method, or in Latin – ‘nullius in verba’ – which translates to ‘take nobody’s word for it’. We discover why the mathematical equations / formulas (used in GCSE and A Level mathematics) are true and how they can solve problems. We encourage students to perform experiments with equations / formulas – to see for themselves why they work. We promote scepticism, critical thinking, breaking problems down into parts and curiosity. We also believe it is perfectly OK to make mistakes whilst learning.

Recommended Links:

The Scientific Method: http://en.wikipedia.org/wiki/Scientific_method

Skepticism: http://en.wikipedia.org/wiki/Skepticism

Model Dependent Realism: https://en.wikipedia.org/wiki/Model-dependent_realism

René Descartes: http://en.wikipedia.org/wiki/Ren%C3%A9_Descartes

Evil Demon: https://en.wikipedia.org/wiki/Evil_demon

Isaac Newton: http://en.wikipedia.org/wiki/Isaac_Newton

Albert Einstein: http://en.wikipedia.org/wiki/Albert_Einstein

Charles Darwin: http://en.wikipedia.org/wiki/Charles_Darwin

Age Of The Enlightenment: http://en.wikipedia.org/wiki/Age_of_Enlightenment

Industrial Revolution: http://en.wikipedia.org/wiki/Age_of_Enlightenment

Gravity: http://en.wikipedia.org/wiki/Gravitation

Black Holes: http://en.wikipedia.org/wiki/Black_hole

Relativity: http://en.wikipedia.org/wiki/Theory_of_relativity

Information Theory: http://en.wikipedia.org/wiki/Information_theory

Claude E Shannon: http://en.wikipedia.org/wiki/Claude_E._Shannon

Stephen Hawking: http://en.wikipedia.org/wiki/Stephen_Hawking

Edward Witten: http://en.wikipedia.org/wiki/Edward_Witten

Pythagoras: http://en.wikipedia.org/wiki/Pythagoras

Socrates: http://en.wikipedia.org/wiki/Socrates

Aristotle: http://en.wikipedia.org/wiki/Aristotle

Calculus: http://en.wikipedia.org/wiki/Calculus

Infinity: http://en.wikipedia.org/wiki/Infinity

Pi: http://en.wikipedia.org/wiki/Pi

Dualism: http://en.wikipedia.org/wiki/Dualism

Dualism (Philosophy Of Mind): http://en.wikipedia.org/wiki/Dualism_(philosophy_of_mind)

Physicalism: http://en.wikipedia.org/wiki/Physicalism

Idealism: http://en.wikipedia.org/wiki/Idealism

Neutral Monism: http://en.wikipedia.org/wiki/Neutral_monism

Simulation Hypothesis: http://en.wikipedia.org/wiki/Simulation_hypothesis

Mathematical Universe Hypothesis: http://en.wikipedia.org/wiki/Mathematical_universe_hypothesis

List of fallacies: https://en.wikipedia.org/wiki/List_of_fallacies

List of cognitive biases: https://en.wikipedia.org/wiki/List_of_cognitive_biases

More logical fallacies: https://yourlogicalfallacyis.com/

GCSE + A Level Mathematics Proofs, Videos and Tutorials.