I am trying to solve the following task: If two recipes have the same category, then they have at least one ingredient in common. My approach: ∀x ∀y ( ( f(x)=f(y) ∧ ¬(x=y) ) → ∃z ( E(x,z) ∧ E(y,z) ) ) It tells me it's not correct yet. I've tinkered around a lot, but…
Hello, under the given predicates Z(x) : x is an integer E(x) : x is an even number P(x) : x is a prime number D(x, y) : x is divisible by y statements formulated in natural language should There is a prime number that is even. Every integer is divisible by a prime number….
Hello dear Gutefrage community, I would like to create a summary of the mathematics module. Since I often simply lack the necessary symbols and characters in conventional programs, I wanted to ask if there is a tool that actually contains most of the mathematical symbols and characters needed to create sensible summaries. Relevant topics for…
(1) ∀x : x ∈ R ⇒ x 2 ≥ 0 For all x, if x is a real number, then the square of x is greater than or equal to 0. (2) ∃t : t ∈ R ∧ t > 3 ∧ t 3 > 27 There exists a real number t such that…
Hello, I often have to do things on my phone for university, and I was wondering if there's a way to get the logical symbols AND, OR, and NOT onto my keyboard. Unfortunately, I always have to laboriously copy them from the internet.
What does the following term mean? I would be delighted to receive an answer! (Task is in the picture)
A question for theoretical computer scientists: Can there be a Turing machine that solves every predicate logic tautology? Perhaps (?) one can write a Turing machine for every given tautology that solves it—but can I build an automaton capable of resolving all tautologies? Can one build a Turing machine that builds a suitable Turing machine…