Constructing Sound Arguments and Proofs • Sequence • Lenny.com

Constructing Sound Arguments and Proofs

A high-school ELA sequence that treats argumentative writing like geometric proofs, focusing on formal logic structures like axioms, modus ponens, and proofs by contradiction to build unassailable positions.

Establishing Axioms and Definitions

Students learn to identify and define the foundational beliefs (axioms) of an argument, starting with a rigorous debate on the definition of everyday items.

The Chain of Reasoning

Focuses on the sequential nature of deductive reasoning, ensuring each claim follows inevitably from the previous one.

Modus Ponens in Persuasion

Explores the Modus Ponens logical form as a powerful rhetorical tool for forcing conclusions in persuasive writing.

Proof by Contradiction

Teaches students the 'Reductio ad Absurdum' technique—proving a point by showing the logical impossibility of its opposite.

The Logical Defense Protocol

A peer-review simulation where students 'compile' each other's arguments to find structural flaws and logic breaks.

Constructing Sound Arguments and Proofs

A high-school ELA sequence that treats argumentative writing like geometric proofs, focusing on formal logic structures like axioms, modus ponens, and proofs by contradiction to build unassailable positions.