What’s on the Quantifiers & Negation poster
A 5-row table: Statement · Its negation.
Push the negation inward; each quantifier flips.
- ∀x P(x) — ∃x ¬P(x)
- ∃x P(x) — ∀x ¬P(x)
- ∀x ∃y P(x, y) — ∃x ∀y ¬P(x, y)
- ∀x (P(x) → Q(x)) — ∃x (P(x) ∧ ¬Q(x))
- Every swan is white — Some swan is not white
Order matters. 'For every x there is a y' is far weaker than 'there is a y for every x' — in one the y may depend on x, in the other it may not.
Questions about the Quantifiers & Negation poster
- What’s on the Quantifiers & Negation poster?
- A 5-row table: Statement · Its negation. Push the negation inward; each quantifier flips. ∀x P(x) — ∃x ¬P(x); ∃x P(x) — ∀x ¬P(x); ∀x ∃y P(x, y) — ∃x ∀y ¬P(x, y); ∀x (P(x) → Q(x)) — ∃x (P(x) ∧ ¬Q(x)); Every swan is white — Some swan is not white. Order matters. 'For every x there is a y' is far weaker than 'there is a y for every x' — in one the y may depend on x, in the other it may not.
- Who is the Quantifiers & Negation poster for?
- Quantifiers & Negation 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 Quantifiers & Negation poster?
- Every proof by contradiction starts by negating a quantified claim correctly. A wall chart earns its place by being glanceable from where the work is happening, so Quantifiers & Negation belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Quantifiers & Negation?
- The Binomial Theorem, Counting Principles and Euler & Hamiltonian Paths sit alongside Quantifiers & Negation 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 Quantifiers & Negation poster free to download and print?
- Yes. Quantifiers & Negation 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 Quantifiers & Negation poster print at?
- Quantifiers & Negation 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 Quantifiers & Negation loses nothing.Printing guide
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