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Sapere aude, incipe
Dare to know; begin
Law of Identity
A thing is what it is. (A = A)
Law of Non-Contradiction
A statement cannot be both true and false at the same time. (A cannot be A and not A.)
Law of the Excluded Middle
A statement is either true or false; there is no middle ground. (A is either A or not A.)
Logical Possibility
Could this happen without breaking logic?
(Example: A square circle is not logically possible.)
Physical Possibility
Could this happen in the real world? (Example: A person jumping 20 feet in the air is not physically possible.)
Technological Possibility
Could this happen using current technology? (Example: Sending humans to Mars is technologically possible.)
Skepticism
A mindset that questions claims and demands good evidence.
Difference Between Knowledge and Belief
Belief: You think something is true.
Knowledge: You have a justified, true belief — backed by evidence or strong reasoning.
Reasonable Doubt
A level of doubt that is sensible based on the evidence
Uncertainty, Ambiguity, Ambivalence
Uncertainty: You don’t know.
Ambiguity: Something has more than one meaning.
Ambivalence: You have mixed feelings.
Confucius: true wisdom is knowing what you don’t know.
Deductive Reasoning
Reasoning from general → specific.
If the premises are true, the conclusion must be true.
Inductive Reasoning
Reasoning from specific → general.
Conclusion is probable, not guaranteed
Abductive Reasoning
Reasoning to the most likely explanation from limited facts
Inference to the Best Explanation
Choose the explanation that fits the evidence best, even if you can’t be certain.
Probability
A measure of how likely something is.
Bayesian Thinking
Adjust your beliefs based on new evidence.
("Proportion your belief to the evidence.")
Anecdotal Evidence
Using personal stories instead of solid data.
Availability Error
Thinking something is true because it’s easy to recall, not because it’s common.
Pareidolia
Seeing patterns that aren’t really there, like faces in clouds.
Motivated Reasoning / Confirmation Bias
Believing things that support what you already want to be true.
Scout Mindset / Soldier Mindset
Scout mindset: Wanting to see the truth, even if it hurts.
Soldier mindset: Defending your current beliefs at all costs.
Negativity Bias
Paying more attention to negative things.
Self-Serving Bias
Taking credit for success and blaming others or luck for failure.
Open-Mindedness
Being willing to update your views when shown good evidence.
Ockham’s Razor
The simplest explanation that fits the facts is usually best.
Game Theory
The study of strategic decision-making — how people choose actions when outcomes depend on others.
Nash Equilibrium
A situation where every player is doing the best they can, given what everyone else is doing.
(No one gains by changing their choice alone.)
Prisoner’s Dilemma
A game where cooperation gives the best outcome, but each person has an incentive to betray, leading to a worse outcome for both.
Honesty
Tell the truth and admit when you’re unsure.
Humility
Recognize your limits; be willing to learn.
Integrity
Stay consistent with your values and evidence.
Epistemic Rationality
Thinking in ways that help you get to the truth.
Instrumental Rationality
Thinking in ways that help you reach your goals
Red Herring
Distracting from the real issue.
Appeal to Authority
Trusting someone just because they’re an authority
Appeal to Fear/Force/Pity
Using emotions instead of logic
Faulty Analogy
Comparing things (apples to oranges)
False Cause
Assuming A caused B just because they happened together
False Dilemma
Acting like there are only two options
Sunk Cost Fallacy
Sticking with something because you already invested in it.
Gambler’s Fallacy
Thinking past random events affect future ones
Two Wrongs Make a Right
Justifying bad behavior because others do it
Ad Hominem
Attacking the person, not the argument
Straw Man
Misrepresenting someone’s argument to make it easier to attack.
Circular Reasoning (Begging the Question)
Using the conclusion as a premise.
Texas Sharpshooter
Picking data that fits your argument and ignoring the rest.
Appeal to Ignorance
“It’s true because you can’t prove it false.”
No True Scotsman
Moving the goalposts to protect a claim
Appeal to Tradition
“It’s right because it’s always been that way.”
Bandwagon
“Everyone believes this, so it’s right.”
Hasty Generalization
Making a broad claim based on too few examples
Hazy Comparison
Vague or unclear comparison
Argument from Incredulity
“I don’t understand it, so it must be false.”
Tu Quoque
“You did it too!”
Special Pleading
Exempting yourself from the rules without reason
Appeal to Utility/Pragmatism
“It works, so it must be true.”
Appeal to Preference
“I like it, so it must be true.”
Ethos
Appeal to credibility
Logos
Appeal to logic
Pathos
Appeal to emotion
Kairos
Saying the right thing at the right time
Anaphora
Repeating at the start of sentences
Epiphora
Repeating at the end of sentences
Metaphor
Comparing one thing to another (no like or as)Sim
Simile
Comparing one thing to another using “like” or “as”
Alliteration
Repetition of initial consonant sounds
Assonance
Repetition of vowel sounds
Puns
Wordplay using multiple meanings