Brainback
subjects · humanities

Logic

Validity is not truth.

humanitiesincluded on every plan

the shape of this subject

Formal logic rewards students who can separate structure from content. Brainback trains this reflex until it sticks.

Because logic rewards the students who do the reps — and punishes the ones who outsource them.

quick facts
discipline
Humanities
typical weekly load
1-2 essays or readings · 4-6 hours
covered on plan
all plans (free forever)
what's in the box

Every logic concept Brainback covers.

Add Logic as a Learn subject and every problem in these areas routes to the Socratic tutor — attempt-first, hint-laddered, output-guarded.

T01Propositional logic
T02Predicate logic
T03Proofs
T04Modal logic
T05Set theory
a real session

What one turn in logic actually looks like.

Attempt → correction → guiding question. No answer. Ever. Verbatim from a beta session.

brainback tutor · learn mode · logicattempt-first
You (attempt)

Modus tollens: (P→Q, ¬Q ⊢ ¬P)…

Brainbackships the question

Is this valid? Would it stay valid if all Ps and Qs were replaced with new symbols?

no answer · one guiding question · your next move

two libraries

How real attempts start. How Brainback nudges.

attempt starters (student side)
  • Modus tollens: (P→Q, ¬Q ⊢ ¬P)…
guiding questions (brainback side)
  • Is this valid? Would it stay valid if all Ps and Qs were replaced with new symbols?

the anti-pattern

What logic looks like when the AI does the thinking.

Answer machines make logic look like a solved problem. It isn't. The exam room reveals whose reasoning was built and whose was rented.

the failure mode this subject teaches is subtle — and expensive
common mistakes brainback catches
  • M1Confusing summary with analysis.
  • M2Reaching for the thesis you wish were true, not the one your evidence supports.
  • M3Quoting without close-reading.
  • M4Substituting jargon for argument.

the recall card

What a spaced-repetition card looks like in logic.

Every wrong attempt and low-scored explain-back becomes a card. SM-2 schedules them — the tricky ones come back tomorrow, the solid ones drift out to next week, then next month.

recall card · due todayease 2.5 · reps 3

Recall the core concept in your own words. Then apply it to a fresh example under 2 minutes.

againhardgoodeasy

logic — ready when you are

Start your first logic session.

Attempt-first. Never the answer. Add it as a Learn subject in 30 seconds.