the Sergio Axioms !

google the following, and learn;

Reflexive Axiom
Symmetric Axiom
Transitive Axiom
Additive Axiom
Multiplicative Axiom
Axiom of extensionality
Axiom of empty set
Axiom of pairing
Axiom of union
Axiom of infinity
Axiom schema of replacement
Axiom of power set
Axiom of regularity
Axiom schema of specification quivalents of AC
Hausdorff maximality theorem
Well-ordering theorem
Zorn's lemma
Axiom of global choice
Axiom of countable choice
Axiom of dependent choice
Boolean prime ideal theorem
Axiom of uniformization
Axiom of real determinacy
Von Neumann–Bernays–Gödel axioms
Continuum hypothesis and its generalization
Freiling's axiom of symmetry
Axiom of determinacy
Axiom of projective determinacy
Martin's axiom
Axiom of constructibility
Rank-into-rank
Kripke–Platek axioms
Diamond principle
Parallel postulate
Birkhoff's axioms (4 axioms)
Hilbert's axioms (20 axioms)
Tarski's axioms (10 axioms and 1 schema)
Axiom of Archimedes (real number)
Axiom of countability (topology)
Dirac–von Neumann axioms
Fundamental axiom of analysis (real analysis)
Gluing axiom (sheaf theory)
Haag–Kastler axioms (quantum field theory)
Huzita's axioms (origami)
Kuratowski closure axioms (topology)
Peano's axioms (natural numbers)
Probability axioms
Separation axiom (topology)
Wightman axioms (quantum field theory)

Logic:

1.1 It is impossible that the same thing be and not be at the same time
and in the same respect.
1.2 Each comparison limps except in the point of comparison.
1.3 Against a fact you can’t argue.
1.4 He who proves too much, proves nothing.
1.5 With someone denying the principles, don't dispute.
1.6 The definition declares the essence, the word signifies the definition.
1.7 What is freely affirmed can be freely denied.
1.8 A small error in the principles is large in the conclusions.

1.9 There is no science of singulars.

1.10 The argument is valid only from being to the possibility of being

Cosmology

2.1 Corruption of one thing is the generation of another thing.

2.2 The accidents do not migrate from subject to subject.

2.3 The actions are of the supposit.
2.4 The individual is incommunicable (and therefore ineffable).
2.5 Nature abhors the void.
2.6 Nature does nothing in vain.
2.7 The action (act) at some distance is totally repugnant. (Act if far,
from potency can't reduce it to act.)
2.8 No violent state lasts forever.

Psychology:

3.1 Nothing is in the intellect which is not first in the senses.

3.2 An inclination follows every form.
3.3 Nothing is desired except what is apprehended.
3.4 Nothing is desired unless it is pre‑known. The ignorant has no desire.
3.5 The intellect is of universals, the senses are of particulars.
3.6 To be apt to know something, one must not have the form of it in its
own nature.
3.7 Whatever is received, is received in the mode of the receiver.
3.8 The intellect in act is the intelligible object in act.
3.9 The soul is in a certain way all things.
3.10 Good is self diffusing.
3.11 Something is knowable insofar as it is in act.
3.12 Abstractors are not liars.
3.13 The end is to the will what the first principles are to the intellect.

3.14 The end is to operative things what the principle is to the
speculative ones.
3.15 The object known is properly in the knower, the lover in the object
loved.
3.16 The intellect at the beginning is like a blank slate (or a newly
formatted floppy disk).
Metaphysics:
Act-Potency:

4.1 "To act” follows "to be." Action follows (and manifests) the being
of something.

4.2 There is no third way, there can be no middle between being and
non­being.

4.3 The potency is ordained to its act and is specified by its object.
4.4 What is in potency, is not reduced to act except by a being already
in act.

4.5 It is of the nature of act to communicate itself insofar as it is able.

4.6 The more distant a potency is from act, the more powerful an agent
must be to actuate it.

Essence-Existence:

5.1 Through the form the existence comes to a thing (Form gives being).

5.2 Each agent acts through its form.

5.3 Each agent produces an effect similar.

5.4 No created substance is operating per se (by itself).

5.5 What is "per accidens" is accidental to that which is “per se."
(i.e. accidental presupposes essential, see [6.19]).

Causality:

6.1 Whatever is moved is moved by another.

6.2 Nothing comes from nothing.

6.3 Every agent acts on account of an end.

6.4 The cause is greater than the effect.

6.5 Nothing is the cause of itself.

6.6 Causes are the causes of one another (in different lines of causality).

6.7 The cause of the cause) is the cause of the thing caused.

6.8 Take away the cause and you take away the effect.

6.9 If you have an effects you have necessarily a cause.

6.10 The end is the cause of causes.

6.11 The end is first in intention and last in execution.

6.12 Whoever desires the ends desires the means to that end.

6.13 It is the proper of the most perfect cause to give the dignity of
secondary cause to imperfect effects.

6.14 A multitude does not have in itself the reason of its unity.

6.15 What is composed does not have in itself the reason of its unity.

6.16 Nothing acts unless insofar as it is in act.

6.17 The order of ends corresponds to the order of agents.
6.18 The corruption of the best is the worst (e.g. corruption of the
prince or of the principles).

6.19 What is essential is prior to that which is accidental.

6.20 What is by participation is caused by that which is by essence.

6.21 No one can give what he does not have.

6.22 The higher the natures the more intimate is what flows from it.

6.23 It is the proper of the best to make the best.

6.24 The way someone is is the way he determines what end is convenient
for him.

6.25 What can not be, sometimes is not.

6.26 What can be deficient sometimes is deficient.

6.27 Being (and miracles) must not be multiplied.

6.28 What is supreme in a genus is cause of everything in the genus.

6.29 What can be done by few principles is not done by many.

6.30 The part and the whole are the same regarding the end.

6.31 He who can do more can do less.

First Principles of Reason:

7.1 Sufficient reason: Everything has sufficient reason of being either
in itself or in another.

7.2 Identity: Every being is by itself constituted in its own specific
nature.

7.3 Non‑contradiction: One and the same being cannot be and not be what
it is.

7.4 Contraries: One and the same being cannot be and not be at the same
time and in the same sense determined in two different ways.

7.5 Causality: Every being which can not‑be needs an efficient cause to be.

7.6 Finality: Every agent acts for an end.

7.7 The same causes in the same circumstances produce always the same
effects.

here is a quick list of some axioms.

The “Golden Rule”: Do unto others as you would have them do unto you.
Similarly: It is better to give than to receive.
No one is perfect. All humans are fallible. We all make mistakes.
In American journalism: “Get it first, but get it right.” In
American nighttime television news: “If it bleeds, it leads.”
In economics: The greater the supply of a product, the lower the
cost to the buyer, and conversely, the greater the demand for an item,
the higher the cost to the buyer.
In history, researchers should investigate any source that they
find. But they should be treat none of them as gospel.
As a teacher, I have a few axioms: If you don’t assign deadlines,
most students will not complete work. If students aren’t tested on
material, they will be less inclined to study it. If a teacher comes
late to class, the students will also tend to come late.
Mathematical principles: A point has no dimensions. A line has one
dimension only with an infinite number of points. A plane is a flat
surface with only two dimensions and contains an infinite number of
points and lines.
From Peter Straub and Stephen King’s 1984 book The Talisman: “Boys
are bad. All boys are bad. It’s axiomatic.”