- What is a mathematical model?
- Hardcore study the wiki article
- Types of reasoning:
- Deductive
- Inductive
- Abductive
- What do the following meta terms mean:
- arbitrary
- well-defined
- vacuous
- trivial
- degenerate
- space
- Explain all ways of defining classes in NBG
- Explain all ways of defining sets in ZFC
- Functions:
- Can we have functions with no explicit graph? Probability/Measure function
- Can we have functions which have graphs of infinite cardinatlity?
- What is an experiment?
- What does it mean for an experiment to be well-defined?
- What does it mean for an experiment to be random?
- What is determinism? (Bruh leave this shit for later)
- What is a deterministic system?
- Deterministic vs Stochastic system
- How to check if system is either? Or do we look at the model?
- Deterministic but extremely sensitive
- Deterministic vs Stochastic system
- What is probabililty?
- What are we finding the probability of?
- What does it mean to find the probability of something?
- Chance? odds? Belief? Propensity?Different interpretations
- What does the probability function look like?
- Probability Distribution vs regular probability function
- Continuous Probability:
- P = 0 => impossible or close to impossible?
- P = 1 => always true? or close to always true?
- Probability: Theory or Model?
- Measure theory:
- probability space (omega, F, P)
- sigma algebra
- sigma field F