The definition is distinguished from the relation of a proposition.

A definition is a conclusion, a result of a defined outcome, and it is undeniable. A sentence that clearly defines the meaning of a name or term in general is called a definition of that name or term.

Definitions, axioms, formulas, properties, laws, theorems in mathematics are all mathematical propositions. These are the basis for judging the truth or falsity of a proposition by reasoning. In general, in mathematics, we take declarative sentences that can be expressed in words, symbols, or formulas within a certain range, and can be judged to be true or false.

It's called a proposition. A proposition is a conditional conclusion, a question is a known matter, a conclusion is a matter that is deduced from a known matter, this conclusion is reached under the condition of previous conditions, but it is not necessarily correct, and a sentence that makes a correct or incorrect judgment on a certain thing is called a proposition.

Proposition: A declarative sentence is a proposition. For example:"The isotope angles are equal", although wrong, but still a proposition.

A definition refers to the interpretation of a word, which belongs to the category of propositions and must be true propositions. Yes"If. So"The form says.

For example:"If the two lines are parallel, then the isotope angles are equal"

First of all, understand what definition is: definition is the cognitive behavior of the epistemic subject to determine the position and boundaries of a cognitive object or thing in the comprehensive classification system of the relevant thing using the linguistic logical form of judgment or proposition, so that the cognitive object or thing is manifested from the comprehensive classification system of the relevant thing. So you understand 1

Yes 2No.

My personal opinion: 1, 2, 3, straight lines can be extended infinitely, "two straight lines that do not intersect are parallel lines" is a true proposition, and it is also a definition. This is only a personal opinion, and I hope to verify.

The definition is true proposition false proposition can not be said to be the definition of "two straight lines that do not intersect are parallel lines", it is a false proposition, it cannot be said to be a definition, the definition can be understood as: the words (propositions) that have been "determined" and "meaningful" have been recognized. False propositions are not recognized (their correctness) and cannot be called "definitions".

Is that okay?

The definition is the conclusion. It is the result of a defined and undeniable result. A proposition is a conditional conclusion. This abutment is a conclusion that is made in the presence of the previous conditions, but it is not necessarily correct.

For example, any number equal to zero is equalNatural numbers。That's the definition. If a number is greater than zero, then the number is natural. This is a proposition, but this is a false proposition (false).

in modern philosophy, mathematics, logic.

In linguistics, a proposition (judgment) refers to a judgment sentence.

The concept of semantics (the concept of actual expression) is a phenomenon that can be defined and observed. The proposition does not refer to the judgment sentence itself, but to the semantics expressed. When different judgments have the same semantics, they express the same proposition.

In mathematics, it is generally regarded as a declarative sentence for judging a certain thing.

It's called a proposition.

The relationship between definition and proposition is: definition is a proposition, definition is a special proposition, and because definition is a true proposition, the definition belongs to a proposition.

Proposition: In modern philosophy, mathematics, logic, linguistics, a proposition refers to the semantic meaning of a judgment (statement) (a concept that is actually expressed), a phenomenon that can be defined and observed.

A proposition does not refer to the judgment (proposition) itself, but to the semantics expressed. When different judgments (propositions) have the same semantics, they express the same proposition.

Definition: A precise and short description of the connotation and extension of a thing's essential characteristics or concept, or it can describe or standardize the meaning of a word or concept by listing the essential properties of an event or an object.

A defined event or object is referred to as a defined item. In general, the concept of clearly defining a name or term is called the definition of that name or term.

In general, a sentence that judges a certain thing is calledproposition,The propositions we learn mathematically are generally made up of:conditionswithConclusionIt consists of two parts. The condition is a known matter, and the conclusion is a matter derived from a known matter. Such a proposition can be written as "If."

SoThe part that begins with "if" isconditionsSoThe latter part is:ConclusionFor example, "two straight lines are parallel and the isotope angles are equal" can be rewritten as "if the two straight lines are parallel, then the isotope angles are equal".

The proposition is the meaning of the question.

A sentence that can be judged whether it is true or wrong is called a proposition. The form of a proposition must be a declarative sentence.

The correct sentence is called a true proposition, and the wrong sentence is called a false proposition.

There are some true propositions, such as "two points determine a straight line", "between two points, the line segment is the shortest", "after passing a point outside the straight line, only one straight line can be drawn parallel to the known straight line", "two straight lines are parallel and at the same angle".

Equal", their correctness has been proven by long-term practice and can be used as a basis for judgment, which is called axioms.

Other true propositions, such as "two straight lines are parallel, and the inner error is angled."

Equal", "equal to the vertex angles", their correctness is to be proved, and it can also be used as the basis for judgment, which is called a theorem.

In modern philosophy, mathematics, logic, and linguistics, a proposition refers to a semantic (actually expressed concept) of a judgment (statement), a phenomenon that can be defined and observed. A proposition does not refer to the judgment (statement) itself, but to the semantics expressed. When different judgments (statements) have the same semantics, they express the same proposition.

In mathematics, declarative sentences that judge a certain thing are generally called propositions.

1. For two propositions, if the conditions and conclusions of one proposition are the conclusions and conditions of the other proposition, respectively, then the two propositions are called inverse propositions, one of which is called the original proposition, and the other proposition is called the inverse proposition of the original proposition. Posture judgment.

2. For two propositions, if the conditions and conclusions of one proposition are the negation of the conditions of the other proposition and the negation of the conclusion respectively, then these two propositions are called mutually negative propositions, one of which is called the original proposition, and the other proposition is called the negative proposition of the original proposition.

3. For two propositions, if the conditions and conclusions of one proposition are the negation of the conclusion of the other proposition and the negation of the conditions respectively, then the two propositions are called mutually negative propositions, one of which is called the original proposition, and the other proposition is called the inverse of the original proposition.

Original proposition: A proposition itself is called an original proposition, e.g., if x>1, then f(x)=(x-1) 2 increases monotonically.

Inverse proposition: A new proposition that inverts the conditions and conclusions of the original proposition, e.g., if f(x)=(x-1) 2 increases monotonically, then x>1.

Negative proposition: A new proposition that negates the conditions and conclusions of the original proposition in its entirety, but does not change the order of the conditions and conclusions, e.g., if x<=1, then f(x)=(x-1) 2 does not increase monotonically.

Inverse negative proposition: A new proposition that reverses the conditions and conclusions of the original proposition, and then negates the conditions and conclusions in their entirety, e.g., if f(x)=(x-1) 2 does not increase monotonically, then x<=1.