X has property Y. Z is like X. So Z has property Y.
Ex: People are like dogs. They respond best to clear discipline.
Four Terms
All A is B. All C is D. So all A is D.
Gambler's Fallacy
Chance can be predicted.
Ex: I've lost three nights in a row. I will win big tonight. I'm wearing my lucky watch, just to make sure.
Illicit Major
All X is Y. No P (which is a subset of Y) is X. Therefore no P is Y.
Ex: All Londoners are European. No Parisiens are Londoners. Therefore no Parisiens are European.
Illicit Minor
All X are Y. All X are P. Therefore all P are Y.
Ex: All New Yorkers are beautiful. All New Yorkers are intelligent. Therefore all intelligent people are beautiful.
In a Certain Respect and Simply
Extending assumed boundaries too far.
Ex: A dog has white teeth, so the dog is white.
Post Hoc
X follows Y. Therefore X is caused by Y.
Ex: The man pulled out a gun. A shot was fired. Therefore the man fired the shot.