How do you translate into symbolic logic?

We want to write each of these given statements in symbolic form for the first one the statement. Says there is life on both Mars and Europa. So that's equivalent to saying there's life on Mars.

How do you express a mathematical statement in symbolic form?

It may, for example, represent the statement, “A triangle has three sides.” In algebra, the plus sign joins two numbers to form a third number.


p, q, r,… statements
Λ “and”
~ “it is not the case that”
=> “implies” or “If…, then…”
“implies and is implied by” or “….if and only if…”

How do you translate a statement into propositional logic?

This is called a unary operator which means it attaches to one proposition. So if you have p you can make it not p if you have not s you can make that not not s. So this just means not.

What is second-order logic explain with example?

For example, the second-order sentence. says that for every formula P, and every individual x, either Px is true or not(Px) is true (this is the law of excluded middle). Second-order logic also includes quantification over sets, functions, and other variables (see section below).

What is symbolic logic examples?

Symbolic logic example: Propositions: If all mammals feed their babies milk from the mother (A). If all cats feed their babies mother’s milk (B). All cats are mammals(C).

How do you translate unless in symbolic logic?

The dictionary shows that the easiest way to translate ‘unless’ is to translate as ‘or. The dictionary shows that if we have “Z is necessary for P,” then we translate as P ⊃ Z. The dictionary shows that if we have “Z, if not P,” then we translate, ~P ⊃ Z.

What is second-order in math?

In mathematical logic, second-order arithmetic is a collection of axiomatic systems that formalize the natural numbers and their subsets. It is an alternative to axiomatic set theory as a foundation for much, but not all, of mathematics.

What is meant by second-order?

Adjective. second-order (not comparable) (mathematics, logic) describing the second in a numerical sequence of models, languages, relationships, forms of logical discourse etc.