**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/