March 10, 2025

Equivalence

4 minutes

Equivalence-I.mp3

Equivalence-I.mp4

Equivalence-Unplugged-Underground-XVI.mp3

Equivalence-Unplugged-Underground-XVI.mp4

Equivalence-intro.mp3

[Intro]

(I meant)

Reflexivity

(Symmetry)

Transitivity

(Equivalent)

[Verse 1]

If by the chance

The equivalence

Has relevance

To our circumstance

[Bridge]

(I meant)

Reflexivity

(Symmetry)

Transitivity

(Equivalent)

[Chorus]

When true is true

(The same truth value)

The influence

(Of congruence)

[Verse 2]

Love and romance

Is there equivalence

Is there a debate

With evil and hate

[Bridge]

(I meant)

Reflexivity

(Symmetry)

Transitivity

(Equivalent)

[Chorus]

When true is true

(The same truth value)

The influence

(Of congruence)

[Outro]

(I meant)

Reflexivity

(Symmetry)

Transitivity

(Equivalent)

A SCIENCE NOTE

Meaning of Equivalence in Math and Science

1. In Mathematics:

Equivalence refers to a relationship between two objects that are considered equal in some specific way, even if they are not strictly identical.

It is often defined through an equivalence relation, which must satisfy reflexivity, symmetry, and transitivity (e.g., congruence of geometric figures, modular arithmetic, etc.).

In logic, equivalence (⇔) means two statements have the same truth value.

2. In Science:

Physics: Equivalence often refers to fundamental principles like the Equivalence Principle in General Relativity, which states that gravitational and inertial mass are equal.

Chemistry: Equivalence can describe equivalent weight, meaning the amount of a substance that reacts with or replaces a standard amount of another.

Symbol for Equivalence

≡ (Triple bar) → Used in logic and mathematics to denote strict equivalence (e.g., identity relations, logical equivalence).

∼ or ≈ → Used to indicate approximate equivalence.

≅ → Used for geometric congruence or structural similarity.

⇔ → Used in logic to indicate “if and only if” (logical equivalence).

From the album “Equals“

...more

View all episodes

March 10, 2025

Equivalence

4 minutes

Equivalence-I.mp3

Equivalence-I.mp4

Equivalence-Unplugged-Underground-XVI.mp3

Equivalence-Unplugged-Underground-XVI.mp4

Equivalence-intro.mp3

[Intro]

(I meant)

Reflexivity

(Symmetry)

Transitivity

(Equivalent)

[Verse 1]

If by the chance

The equivalence

Has relevance

To our circumstance

[Bridge]

(I meant)

Reflexivity

(Symmetry)

Transitivity

(Equivalent)

[Chorus]

When true is true

(The same truth value)

The influence

(Of congruence)

[Verse 2]

Love and romance

Is there equivalence

Is there a debate

With evil and hate

[Bridge]

(I meant)

Reflexivity

(Symmetry)

Transitivity

(Equivalent)

[Chorus]

When true is true

(The same truth value)

The influence

(Of congruence)

[Outro]

(I meant)

Reflexivity

(Symmetry)

Transitivity

(Equivalent)

A SCIENCE NOTE

Meaning of Equivalence in Math and Science

1. In Mathematics:

Equivalence refers to a relationship between two objects that are considered equal in some specific way, even if they are not strictly identical.

It is often defined through an equivalence relation, which must satisfy reflexivity, symmetry, and transitivity (e.g., congruence of geometric figures, modular arithmetic, etc.).

In logic, equivalence (⇔) means two statements have the same truth value.

2. In Science:

Physics: Equivalence often refers to fundamental principles like the Equivalence Principle in General Relativity, which states that gravitational and inertial mass are equal.

Chemistry: Equivalence can describe equivalent weight, meaning the amount of a substance that reacts with or replaces a standard amount of another.

Symbol for Equivalence

≡ (Triple bar) → Used in logic and mathematics to denote strict equivalence (e.g., identity relations, logical equivalence).

∼ or ≈ → Used to indicate approximate equivalence.

≅ → Used for geometric congruence or structural similarity.

⇔ → Used in logic to indicate “if and only if” (logical equivalence).

From the album “Equals“

...more

Share Equivalence

Sign up to save your podcasts

Equivalence

Equivalence