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How to express ''there exists a subset $X$ of $\Delta$ which is such that at least $50$ percent of $X$ satisfy a property''

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#logic #first-order-logic #predicate-logic #quantifiers #higher-order-logic
86
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Proof: the element $0 \in \mathbb{Z}$ is unique.

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#solution-verification #first-order-logic #natural-deduction
406
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proving corollary of compactness theorem

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#logic #first-order-logic #model-theory
890
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Converting English statements into symbolic form and then negating them

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#logic #first-order-logic #predicate-logic #quantifiers #logic-translation
167
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Use compactness theorem to prove existence of a Flip-Set

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#logic #compactness #first-order-logic
339
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Translating "John is an adult man" into First Order Logic and Prover9 input

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#discrete-mathematics #logic #first-order-logic #theorem-provers
219
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Prove $\exists x(P(x) \land \forall y(P(y) \to y=x)) \vdash \exists x \forall y(P(y) \leftrightarrow y=x)$.

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#logic #first-order-logic #predicate-logic #natural-deduction #formal-proofs
448
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Theory vs complete diagram of a model

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#logic #first-order-logic #model-theory
224
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Why does Consistency not imply Soundness?

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#logic #first-order-logic
92
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What is the cardinality (finite, infinite and countable, or infinite and uncountable) of the smallest model of the following set?

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#elementary-set-theory #logic #first-order-logic #model-theory
137
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Motivating the Implication Operator

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#logic #first-order-logic
49
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Find the mistake: $A=\emptyset\land B=\emptyset\leftrightarrow A\times B=\emptyset$

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#elementary-set-theory #first-order-logic #quantifiers #fake-proofs
44
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Is the proof of $(A\setminus B)\cup(A\cap B)=B\implies B\subseteq A$ correct?

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#elementary-set-theory #solution-verification #first-order-logic
65
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If a model $\mathcal{M}$ is s.t. $\mathcal{M} \models \Delta$ and $\mathcal{M} \models \Gamma$, then $\mathcal{M} \models \Delta \cup \Gamma$?

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#logic #proof-writing #solution-verification #first-order-logic #model-theory
44
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Decucibility of FOL well formed formulas

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#logic #first-order-logic #predicate-logic

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