What Is Mahabhringraj

Propositions equivalence relations in mathematics

The

propositions in algebra

are used to determine and work with

sets.

We know that to express the characteristic of an object requires a sentence But these words can be called if the predicate is possible to assign a truth value on the basis of logical reasoning. These are examples of predicates: p: "I am your friend," f, "my sister weighs 55 kg," c: "Pope has white hair"

These however are not predicates: or "those who are your friends? "r" come and see you tomorrow ' q: "Gianna is beautiful"

p, f and c are preached because it is possible to tell if they are true or false. or, req predicates are not because there is no point in giving it a logical truth value. If the sentence contains topics related to predicates called proposition or statement

. The number of arguments is variable and the number of predicates, but in general to be less ambiguous, it takes at least two arguments and a predicate that compares them.
Called
open proposition or statement

open if arguments are not real but unknown, ie

variables. In According to a statement we can open to create a report or a set of mathematical function. Examples of open
propositions: p (x) "x is a mammal ', t (x, y)" x precedes y ", u (x, y, z)" x is less than y and
y is less than z '
You can see that u in the statement, there are two predicates joined by the connective, which represents the logical operation of conjunction. It means that u is true only if both predicates are true. A proposition can be atomic or molecular level. Atomic if it consists of a single statement, whether molecular, comprising two or more sentences, always connected by logical connectives (Connectives logic are used for logical operations). The logical connectives are the logical operations that we will see in later articles. Examples of molecular
proposition:
p (x, y): 'X has the same color y', g (x, y): "if x is a mammal, then it's not a bird '