Summa Elementis Theologica


icon1   Exordium - Beginning

7   Logicum - Logic

1   Logicum - Logic

1How do we discern what is true or not true? If we do treat the information presented to us with Respect, how then do we make informed choices?
2This is no easy task when one may be bombarded with claims, promises and challenges from a range of sources.
3It is why the concept of Trust is so important to virtually each and every one of us with Trust meaning simply “that some statement, promise, claim can be relied upon as having the basis of truth”.
4If someone we Trust says that a concept or object or rule or idea is valid, we are much more likely to believe what they are saying.
5The only problem to this natural and critical method of learning is when those whom we Trust should not be trusted.
6This is sadly the case sometimes with politicians, professionals and religious leaders who create the appearance of being trustworthy, but in fact are impostors and deceitful in their conduct.
7Trust is essential to the fabric of society. Without it, a society will ultimately collapse.
8Equally, a lack of basic competence of knowledge and cognition also risks the breakdown of a society as systems fail, services fail and people are abandoned.
9So how do we work towards a greater level of Trust as well as a basic level of competence of knowledge?
10The answer is by using such tools as Logic.
11Logic describes the systematic use of certain methods of reasoning and the study of such systems as a discipline in itself.
12From ancient times until the last two hundred years, Logic along with Rhetoric and Grammar were considered the three essential sciences or the Trivium – through which all other knowledge and science was derived.
13Thus a true scholar and hermeneutic was expected to master the “three ways” of Grammar, Logic and Rhetoric before embarking on the study of the Quadrivium of Geometry, Arithmetic, Astronomy and the Arts.
14In simple terms, Logic is any formal system of argument of proofs.
15So while the term is historically associated with Aristotle, many ancient civilizations have had their own equivalent system of Logic.
16Whatever name is attributed, most formal systems of Logic possess the same essential seven elements being: Definitions, Rules, Axioms, Assumptions, Formula, Variables and Proofs.
17For example, Definitions are the terms and meanings for the elements of the system of Logic itself such as concepts as Proposition, Inference and Conclusion.
18Rules are the rules or “assumptions” for the system of Logic itself, on the rules of how it is constructed and applied and what distinguishes it from other systems.
19Axioms are the statements that are trying to be proven or dis-proven using the system of Logic.
20Assumptions are the specific assumptions associated with a Proposition that affect the way in which Formula are constructed as well as Variables.
21Formula are symbolic sub-statements constructed in a formal way with Variables to define relations and dependencies.
22Variables are the symbolic representation of certain assumptions as previously defined.
23Proofs are validations that an Axiom satisfies all conditions for which it is intended.
24While all formal systems of Logic possess generally the same seven elements, the essential differences in Rules enables us to group them into three distinct types being Bivalent Linear Logic, Multivalent Linear Logic and Multivalent Multilinear Logic.
25Bivalent Linear Logic is based on the presumption of a single chronological set of dependent time events and only one of two possible outcomes or Conclusions.
26Multivalent Linear Logic is based on the presumption of a single chronological set of dependent time events and two or more possible outcomes or Conclusions.
27Multivalent Multilinear Logic is based on the presumption of a multiple set of interdependent time events and two or more possible outcomes or Conclusions.
28Only Multivalent Multilinear Logic is capable of approximating to any degree of accuracy the reality of Divine Law, Natural Law or Cognitive Law.
29Both Multivalent Linear Logic and Bivalent Linear Logic are wholly unable to accurately portray the reason, function and effect of any real world events with any degree of accuracy.
30Yet despite these differences of accuracy, all forms of Logic are based on multiple layers of assumptions, meaning no Logical conclusion can be considered perfectly true.
31Instead, Logic enables us to deduce the most likely events, or relations when we employ all our faculties of reason, deduction and cognition.
32Thus, Logic helps us to see the basic framework of relations and function of the Universe and of all complex systems that exist within the Universe itself.
33Using Logic, we are able to deduce such common sense reasoning that if A is first and B is second, then A comes before B.
34Or if A is the source of all authority for B, then B can never have more authority than A.
35Or if B depends on the authority of A to exist and B is severed and abjures from A, then the authority of B ceases to exist.
36While Bivalent Linear Logic is the most unnatural system for portraying, recreating or analyzing the reason, cause and effect of any real world events, it is the most functional of all three (3) logic models in terms of law because of its simplicity.
37Therefore, Bivalent Linear Logic is the foundation of all Positive Law or law derived from Positive Law.
38Unfortunately, like all systems and assumptions of the mind, Logic is also subject to corruption and error. Errors in logic are most commonly called Logical fallacies.
39A classic example of a logical fallacy is a Non Sequitur such as (a) “A red haired man killed a policeman” therefore (b) “All red haired men are killers” or (c) “Red haired men only kill police”.
40Non Sequitur is Latin for “it does not follow” and refers to logical fallacies when the conclusion does not follow its premises.
41To a man or woman of sound mind and reason, such an argument is obviously flawed and untrue and injurious to the law.
42That is why for more than two thousand years, the most forbidden act for a Judge has been to use a “logical fallacy" in any legal argument.
43Thus it remains a test of any competent forum of law that when one or more fallacies are found to exist in any legal argument, especially one associated with a verdict then logically the whole argument itself may be discredited, derogated or abrogated.
44An example of another logical fallacy is Argumentum ad Hominem such as (a) “the author wrote a document” and (b) “the author was caught lying once many years ago” therefore (c) “the book is all lies and cannot be trusted”.
45Argumentum ad Hominem is Latin for “to the man” and is a particularly cruel and malicious form of logical fallacy whereby an argument is constructed upon false and untested presumptions of character in order to validate an argument.
46This is an all too common form of logical fallacy and flawed argument in public debates based on the absurdity that smear and defaming is somehow equivalent to the Trivium of Grammar, Logic and Rhetoric.
47Another example of logical fallacy is Post Hoc such as (a) “A black haired man was seen walking with a large amount of money past a Bank that had been robbed earlier” therefore (b) “The black haired man robbed the bank”.
48Post Hoc is short for the Latin phrase Post Hoc Ergo Propter Hoc meaning “after this, therefore because of this” and refers to logical fallacies that falsely jump to false conclusions on the sequence of events.
49Yet another example of logical fallacy is Ignoratio Elenchi such as (a) “XYZ is a famous and respected leader” and (b) “AAA is a policy endorsed by XYZ” therefore (c) “AAA must be a good policy”.
50Ignoratio Elenchi is Latin for “ignorance of the refutation” and refers to logical fallacies that may or may not be valid in other circumstances but irrelevant to the issue in question.
51Ignoratio Elenchi is a frequent logical fallacy of irrelevant quotations, endorsements and citations that add nothing to the substance of the argument, except the appearance of authority.
52While there are many more examples of logical fallacies, these few examples at least serve to demonstrate the various flaws of flawed thinking.
53The purpose therefore of providing these various examples is to show how even the tools of Logic can be deliberately or mistakenly misused or abused.
54When such deliberate abuse of flawed logic is associated with a particular religion or religious doctrine, then any such objective discussion becomes extremely difficult.
55Often, this is because of how such flawed logic is defended and protected – not with cognition, or logic or reason, but with superstition, with fanaticism and with a lack of respect and willful ignorance.
56Sadly, it is not the fault of the fanatic or the zealot that seeks to defend logical fallacies dressed up as religious doctrines, but those that concocted such falsities in the first place.
57There is no evidence to suggest the formation of the universe or its operation is in anyway illogical or logically flawed.
58Therefore, why should we accept logical fallacies as elements of any science of the Divine?
59This brings us to the next key concept to discuss before we begin reviewing the core structures of Summa Elementis Theologica.
60The next concept is the idea of reason.