The Magna Sententia Shield

Because Magna Sententia is based on a system of logic, the symbols within its shield originate in mathematics. This table not only explains the mathematical meanings of these symbols but also their interpretations reflecting the Axioms of Magna Sententia:

The Axiom Of Responsibility

In mathematics, the symbol denotes the set of real numbers. Real numbers can be informally defined as all of the numbers on the number line, or any number that can be expressed as an infinite decimal. This includes integers (positive and negative whole numbers), rational numbers (integers plus all other numbers that can be expressed as a fraction), and irrational numbers (numbers such as square roots and pi that can be expressed by an infinite decimal, but not a fraction).

According to Magna Sententia, the symbol represents the Axiom of Responsibility because this Axiom clearly defines the set of your real responsibilities. Just as imaginary numbers are not a part of the set of real numbers in mathematics, it is important that you know exactly what is and what is not your real responsibility.

Use the Axiom of Responsibility to determine when others are not meeting their responsibilities, when they are attempting to make you shoulder their responsibilities, and when you are not fulfilling your own responsibilities.

The Axiom Of Respect

In abstract algebra, an isomorphism is a structure-preserving mapping (or function) that is used to show that two mathematical structures (such as groups, rings, or fields) are structurally identical.

Isomorphisms are of great use when studying an unfamiliar structure (or a structure that is difficult to work with) since if you can prove that an isomorphism exists from the unfamiliar (or difficult) structure onto a familiar structure (or structure that is easier to work with), then you can solve problems and discover useful facts about the properties of the unfamiliar (or difficult) structure using the familiar (or easier) one.

When an isomorphism exists between two structures G and H, we say that they are isomorphic and we write G H. On the other hand, if we prove that G and H are not isomorphic, we write G H.

According to Magna Sententia, the symbol represents the Axiom of Respect because respect is not the same as respectfulness. In fact, understanding the distinction between the two discrete concepts of respect and respectfulness is critical for congenial, gracious relationships in which respect is not misplaced and all people relate to one another without contention or divisiveness.

Use the Axiom of Respect to treat yourself and others respectfully while respecting only those who earn it.

The Axiom Of Realistic Expectations

In mathematical logic, the symbol is read as "implies" or "if . . . then." It is used to construct conditional sentences (such as "If x is even, then x + 1 is odd,") that are employed in mathematical proofs.

According to Magna Sententia, the symbol ; represents the Axiom of Realistic Expectations because all of your choices imply consequences. (If you make choice x, then the consequence is y.) Whether they are positive or negative, intended or unintended, the consequences of your choices work together to determine your future life.

Use the Axiom of Realistic Expectations to give yourself as much control as possible over your life by making decisions that have the highest probability of leading to the life and relationships you want.