Compound Syllogisms and Improper Fallacies/Ad Hominems

Modus Ponens

If p, then q. Restating p. So, q

Modus rollers

If p, then q. Not q. So, not p

Negative Disjunctive Syllogism

Either p or q. Not p/q. So, q/p

Hypothetical syllogism

If p, then q. If q, then r. If p, then r

Affirmative Disjunctive Syllogism

Either p or q. P/q. So, not p/q

Fallacy of Affirming the Consquent

If p, then q. Q. So, p

Fallacy of Denying the Antecedent

If p, then q. Not p. So, not q

Circumstantial Ad Hominem

Argument is dismissed because of person’s circumstances

Abusive Ad Hominem

Argument is dismissed because character is insulted

Tu Quoque

Argument dismissed because hyprocritical

Fallacy of Equivication

Uses analogical term

Straw Man

Dismissed because other argument is weakened

Hasty Generalization

Weak evidence/statistics

Argument from Ignorance

Something is not the case because it is not known

False Dilemma

Number of options is limited

Ignoratio Elenchi

Conclusion is irrelevant to premises