Mathematical Idealism Study Plan

This structured study plan will help you gradually build the necessary math skills to explore idealism.

Phase 1: Build a Strong Math Foundation (Weeks 1–12)

Weeks 1–4: Logical & Mathematical Thinking

• Learn Logic & Set Theory: Mathematical Thinking (Coursera)
• Read The Art of Logic by Eugenia Cheng
• Practice algebra basics on Khan Academy

Weeks 5–8: Algebra & Basic Calculus

• Study Algebra 2 (Khan Academy)
• Read Calculus Made Easy by Silvanus Thompson

Weeks 9–12: Probability & Information Theory

• Learn probability from Khan Academy
• Study Shannon entropy and information theory

Phase 2: Quantum Mechanics & Advanced Math (Weeks 13–24)

Weeks 13–16: Linear Algebra (For Quantum Mechanics)

• Watch Essence of Linear Algebra by 3Blue1Brown
• Practice vector and matrix operations

Weeks 17–20: Quantum Mechanics Concepts

• Study Quantum Mechanics (Quantum Country)
• Learn about wave functions and Schrödinger’s Cat

Weeks 21–24: Gödel’s Theorems & Digital Physics

• Read Gödel’s Proof by Nagel & Newman
• Explore computational theory on Khan Academy

Phase 3: Mathematical Idealism & Philosophy (Weeks 25–32)

Weeks 25–28: The Simulation Hypothesis & It from Bit

• Read The Simulation Hypothesis by Rizwan Virk
• Study Wheeler’s “It from Bit” hypothesis

Weeks 29–32: Berkeley’s Idealism & Mathematical Universe

• Read A Treatise Concerning the Principles of Human Knowledge by Berkeley
• Explore Max Tegmark’s Mathematical Universe Hypothesis

Final Project (Week 33–34)

Write an essay or create a diagram showing how mathematics supports idealism. Reflect on your journey!

Extra Tips for Success

• Study 30 minutes a day consistently.
• Use interactive tools like Wolfram Alpha for calculations.
• Engage in discussions (Reddit, Discord, or online forums).

Good luck on your journey!