What does but mean in discrete math?

What does but mean in discrete math?

But is a set meta-operator. It means “Union NOT”.

Is but the same as discrete math?

When translating from English sentences into logical form, “but” generally means the same as “and”, and the phrase “neither A nor B” is translated as “not A and not B”. Additionally, ~ (negation) is performed before logical AND and logical OR, and all operations within parenthesis are performed first.

Is but a conjunction or disjunction?

Commonly used connectives include “but,” “and,” “or,” “if . . . then,” and “if and only if.” The various types of logical connectives include conjunction (“and”), disjunction (“or”), negation (“not”), conditional (“if . . . then”), and biconditional (“if and only if”). …

What does because mean in logic?

Either the connective “because” is truth-functional, in which case it is the same as “if…, then…”, or it is not truth-functional, in which case we need a different way of modelling it. See e.g. Counterfactual Theories of Causation.

Why is discrete math called discrete?

Universities found that the typical math sequence that lead to calculus courses did not sufficiently cover the math needed by computer scientists. So they put together the extra math topics needed into a course, now called Discrete Mathematics.

What does A -> B mean in discrete math?

A function f from A to B is an assignment of exactly one element of B to each element of A. We write f(a)= b if b is the unique element of B assigned by the function f to the element a of A. Iff is a function from A to B, we write f : A → B.

What does ⊃ mean?

The ⊃ symbol is used to symbolize a relationship called material implication; a compound statement formed with this connective is true unless the component on the left (the antecedent) is true and the component on the right (the consequent) is false, as shown in the truth-table at the right.

What is discrete mathematics?

Discrete mathematics is actually a collection of a largenumber of different types of mathematics all used when working with discrete data. Some things we are going to cover in this class include: Logic1(propositional logic, predicate logic, quantified formulae, logical deductions) o Architecture (logic gates) My area!

What is the difference between discrete and continuous?

The standard definition is “separate and distinct”. The opposite would be “continuous”. Discrete things can often be characterized by integers, whereas continuous things generally require the real numbers. What is Discrete Mathematics? There are numerous branches of mathematics.

Are real numbers discrete or countable?

However, R, the real numbers (i.e., the rationals plus all the non-repeating decimals, such as π, e, √2, etc.), is not countable! So, one feature of being “discrete” is that discrete objects are countable.

What is the difference between but and not and but only?

BUT, BUT ONLY – is an intersection (which can be defined in terms of NOT and AND) of one set with another set (sometimes with an implied set) BUT NOT is a union of one set with the inverse of another set