What’s on the Logical Equivalences poster
10 entries in 2 groups.
≡ means the two have identical truth tables.
- Valid rewrites: p → q ≡ ¬p ∨ q, Contrapositive: p → q ≡ ¬q → ¬p, p ⇔ q ≡ (p → q) ∧ (q…
- Not equivalent to p → q: Converse: q → p, Inverse: ¬p → ¬q, ¬(p → q) ≡ p ∧ ¬q, not p…
A statement and its contrapositive are equivalent. A statement and its converse are not, and confusing the two is the classic error.
Questions about the Logical Equivalences poster
- What’s on the Logical Equivalences poster?
- 10 entries in 2 groups. ≡ means the two have identical truth tables. Valid rewrites: p → q ≡ ¬p ∨ q, Contrapositive: p → q ≡ ¬q → ¬p, p ⇔ q ≡ (p → q) ∧ (q…; Not equivalent to p → q: Converse: q → p, Inverse: ¬p → ¬q, ¬(p → q) ≡ p ∧ ¬q, not p…. A statement and its contrapositive are equivalent. A statement and its converse are not, and confusing the two is the classic error.
- Who is the Logical Equivalences poster for?
- Logical Equivalences belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning discrete mathematics can pin it up — a beginner, a student mid-course, or someone revising years later.
- When should you use the Logical Equivalences poster?
- Before rewriting a statement in a proof, check the transformation is on the left. A wall chart earns its place by being glanceable from where the work is happening, so Logical Equivalences belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Logical Equivalences?
- The Binomial Theorem, Counting Principles and Euler & Hamiltonian Paths sit alongside Logical Equivalences in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.The Binomial TheoremCounting PrinciplesEuler & Hamiltonian Paths
- Is the Logical Equivalences poster free to download and print?
- Yes. Logical Equivalences downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Logical Equivalences poster print at?
- Logical Equivalences is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Logical Equivalences loses nothing.Printing guide
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