Theory of Knowledge

13

Chapters

165

Notes

Chapter 1 - Knowledge & The Knower(Core)

Chapter 2 - Knowledge & Technology(Optional)

Chapter 3 - Knowledge & Language(Optional)

Chapter 4 - Knowledge & Politics(Optional)

Chapter 5 - Knowledge & Religion(Optional)

Chapter 6 - Knowledge & Indigenous Societies(Optional)

Chapter 7 - History(AoK)

Chapter 8 - The Human Sciences(AoK)

Chapter 9 - The Natural Sciences(AoK)

Chapter 10 - The Arts(AoK)

Chapter 11 - Mathematics(AoK)

Chapter 12 - ToK Exhibition

Chapter 13 - ToK Essay

Theory of Knowledge

635 words

4 mins read

Last edited on 14th Jun 2024

We often think of mathematics as being about understanding and reasoning through formulas and symbols. However, let's shake things up a bit. What if we consider math as a performance, a know-how, an activity that extends beyond just our minds? Yep, that's right! Mathematics isn't restricted to a paper or computer screen; it's enacted through our whole body, and even seen in the arrangements of objects in the physical world around us.

**Real World Example: **Imagine you're trying to score a goal in football. You're subconsciously calculating angles and trajectories for that perfect shot. You're not jotting down equations on the field, right? You're performing math in action!

When we say everything in the universe follows mathematical principles, we mean *everything*. Sea slugs, electrons, rainbows - they all do math. For instance, when a rainbow appears, it’s a mathematical performance involving complex principles of refraction and reflection. Likewise, a peregrine falcon enacts a stunning mathematical performance, diving towards its prey in a perfect logarithmic spiral.

**Real World Example:** Next time you see a rainbow or watch a bird swoop down on its prey, remember, it's not just a natural occurrence, it's a live mathematical performance!

Let's stretch our minds a bit more. Can we say that creatures or natural systems that follow mathematical patterns 'know' mathematics? Think about it this way: they aren't thinking about math, they're *doing* it. They're mathematicians by practice. This idea puts math in a new light - something like music or dance. It's not just about writing it down; it's about playing it out.

**Real World Example:** Sea slugs and corals follow hyperbolic geometry. They don't have textbooks or calculators, but they're practicing complex mathematics just by living their lives.

Dive deeper and gain exclusive access to premium files of Theory of Knowledge. Subscribe now and get closer to that 45 🌟

Theory of Knowledge

635 words

4 mins read

Last edited on 14th Jun 2024

We often think of mathematics as being about understanding and reasoning through formulas and symbols. However, let's shake things up a bit. What if we consider math as a performance, a know-how, an activity that extends beyond just our minds? Yep, that's right! Mathematics isn't restricted to a paper or computer screen; it's enacted through our whole body, and even seen in the arrangements of objects in the physical world around us.

**Real World Example: **Imagine you're trying to score a goal in football. You're subconsciously calculating angles and trajectories for that perfect shot. You're not jotting down equations on the field, right? You're performing math in action!

When we say everything in the universe follows mathematical principles, we mean *everything*. Sea slugs, electrons, rainbows - they all do math. For instance, when a rainbow appears, it’s a mathematical performance involving complex principles of refraction and reflection. Likewise, a peregrine falcon enacts a stunning mathematical performance, diving towards its prey in a perfect logarithmic spiral.

**Real World Example:** Next time you see a rainbow or watch a bird swoop down on its prey, remember, it's not just a natural occurrence, it's a live mathematical performance!

Let's stretch our minds a bit more. Can we say that creatures or natural systems that follow mathematical patterns 'know' mathematics? Think about it this way: they aren't thinking about math, they're *doing* it. They're mathematicians by practice. This idea puts math in a new light - something like music or dance. It's not just about writing it down; it's about playing it out.

**Real World Example:** Sea slugs and corals follow hyperbolic geometry. They don't have textbooks or calculators, but they're practicing complex mathematics just by living their lives.

Dive deeper and gain exclusive access to premium files of Theory of Knowledge. Subscribe now and get closer to that 45 🌟