© Dr. Eng. Jan Pająk

H1.1.4. A formal scientific proof that the counter-world does exist, formulated according to principles of mathematical logic

The first formal scientific proof for the existence of the counter-world was published in subsections H1.1 to H1.1.3 from chapter H (volume 4) of the previous edition [1/4] of this monograph entitled "Advanced magnetic devices" in 2000. (Means it was published quite a long ago.) In fact, this proof was repeated three times in the indicated subsections, each time completed with a different physical methodology of scientific proving. This in turn illustrates that the scientific proving of so obvious matter as the existence of the counter-world, can be carried out not just on one, but on many entirely different ways. The scientific proof that "counter-world does exist" is quite important. It confirms scientifically facts which are explained to us by religions for thousands of years. Namely, it proves that this another world, popularly called the "other world" (e.g. consider the saying "they send him to the other world"), or "afterworld" (e.g. consider the saying "he shifted to afterworld"), in fact does exist in an objective manner. In turn this objective existence of the other world can be confirmed in a scientific manner. This in turn is just a small step away from the scientific proving, that whatever religions and folklore claim about God living in this other world, and about us going in there after our death, is also an objective truth and can be confirmed objectively with scientific methods. The scientific proof that "counter-world does exist" is for us equally binding as all other scientific proofs - for example as the proofs that the Earth is spherical, or that sides of a right-angled triangle fulfill the Pythagoras equation. For our own good we should rely on indications resulting from this proof in everything that we do. After all, if we do not consider it, then we are to stick to views and undertake actions which run against truth - means which contradict the true operation of the counter-world and the universe. In turn thinking and acting contradictive to the truth and to reality, inevitably brings not very pleasant consequences to us. In turn if we consider in our lives indications resulting from this proof, then in almost everything that we do, we are inclined to make corrections for the existence and influence of the counter- world on our lives and on the world around us. This in turn is the key to our future reaping fruits and rewards which await for these who learned the truth and who recognize it.

During my professorship at a Korean University in 2007, by some strange act of God in the second semester which coincided with the update of the fifth edition of this my most important monograph, I was granted the privilege of giving a series of lectures from the mathematical logic. A "by product" of these lectures was that to three previous versions of the formal proof for the existence of the counter-world completed before with the use of physical methods, I could add another version of the formal scientific proof for the existence of the counter-world which this time is completed with the use of methods of mathematical logic. Because this proof is short, I am quoting it below for the use of these readers who would like to get familiar with it, or wish to check the validity of it. However, I would still encourage to reach for further information regarding it, which is provided in subsection H1.1.4 from this volume 4 of the newest edition of this series of monographs. The base propositions of the above proof for the existence of the counter-world stem from attributes of the so-called "transverse waves" - the more extensive description of which is provided in different subsections of the Concept of Dipolar Gravity - see subsections I2.1 /?/ and I2.1.1 /?/ from the next chapter I (volume 5) of this series of monographs. But in order to save the reader reading these other descriptions, I remind here briefly that every wave is simply a moving oscillation. Thus in every wave two directions of motion are coexisting, namely the main direction in which a given wave moves, and also the main direction in which occurs the oscillatory motion that forms this wave. The "transverse waves" are simply such waves in which the main direction of a given oscillatory motion is perpendicular to the direction into which the entire wave moves. Most common examples of "transverse waves" are waves on water. The "transverse waves" must be clearly distinguished from the so-called "longitudinal waves" in which both above componential directions of motion occur along the same line. A most common example of longitudinal waves is probably a home toy in which steel balls hang on strings in a row, like pendulums, touching each other sideways. When we lift a first of these steel balls and provide it with a pendulum motion, then with the use this longitudinal wave this pendulum motion is transferred onto the last ball, which repeats it, then the motion is transferred back onto the first steel ball, etc. So here it is, the formal proof for the existence of the counter-world completed with the use of methods of mathematical logic:

Theorem:

"The counter-world does exist".

Basis propositions:

(1) "The electromagnetic waves display all attributes of the so-called "transverse

waves", and according to the present knowledge the electromagnetic waves must propagate in exactly the same manner as all known to us kinds of transverse waves do propagate. All known kinds of transverse waves propagate exclusively along the border between two mediums.

(2) The belonging of electromagnetic waves to the category of transverse waves which propagate along the border between two mediums means that in the space which these waves cross must either exist a border of some sort between two mediums which occupy our physical world, or must exists a border which remains invisible to our senses and undetectable to our instruments and which separates our physical world and the counter-world (the counter- world also remaining inaccessible for us and undetectable for our instruments) - each of these two worlds being filled up with a different medium. The fact that electromagnetic waves propagate across space in which our advanced physical instruments nor excellently provided and well paid scientific laboratories are unable to detect neither the existence of two different mediums, nor detect the existence of a border between two different mediums, eliminates completely the possibility that electromagnetic waves could propagate along a border between two different mediums that fill up our physical world.

(Explanation complementing this set (2) of premises: The cross-volume propagation of electromagnetic waves researched by our science, occurring through the space which for our measurement instruments appear as filled up with an uniform medium, combined with simultaneous behavior of these waves as if they propagate along the border of two different mediums, may only then take place, when these waves propagate along the surface of two different worlds, means along the border of our physical world, and some other world which remains inaccessible to our senses and undetectable to our instruments, and which is filled up with a different medium than our physical world. Since this other world had no scientific name so-far, the Concept of Dipolar Gravity which discovered and described it, named it the "counter-world".)

(3) The counter-world does NOT exist, or does exist. The propagation of electromagnetic waves along the border between our physical world and this counter-world eliminates completely the possibility that the counter-world does NOT exist.

Proof:

(1) The first basis proposition is to be transformed with the use of tautological form of the method known under the name of "hypothetical syllogism". This form can be written as [(p =>q) && (q => r)] => [p => r], in which the assertion "p" says "the electromagnetic waves display all attributes of the so-called transverse waves", while the assertion "q" says "according to the present knowledge electromagnetic waves must propagate in exactly the same manner as all known to us kinds of transverse waves do propagate", in turn the assertion "r" states "all known kinds of transverse waves propagate exclusively along the border between two mediums". The transformation of these propositions implies the conclusion that "the electromagnetic waves propagate exclusively along the border between two mediums".

(2) Accepting this previous conclusion for an assertion in the next phase of inference, and using the method of "disjunctive syllogism", the tautological form of which can be written as: [(p || q) && !p] => q, we obtain a next conclusion which states that "the electromagnetic waves must propagate along the border between our physical world and the counter-world."

(3) The last couple of propositions allows us to derive the final conclusion with method called the "disjunctive syllogism", the tautological form of which can be written as: [(p || q) && !p] => q. In this form the assertion "p" says "the counter-world does NOT exist", while assertion "q" states "the counter-world does exist". Thus the final conclusion states "the counter-world does exist"!

Conclusion

The above inference chain unambiguously and conclusively proves the truth of the theorem that "the counter-world does exist".

the above proof, I would like to explain that symbols "p", "q", and "r" mark subsequent "assertions" utilized in this proof as logical variables. In turn symbols "&&", "||", and "=>" mark logical operators "and", "inclusive or", and "implies" (if ... => then ...").

It is also worth to mention about the validity of the above proof. Because this proof utilizes exclusively tautological forms of subsequent methods, it remains valid for all values of variables it uses. Thus practically it is error-proof. If someone would like to undermine it, he or she would need to undermine first the validity of mathematical logic. In turn this logic is a foundation for countless mathematical proofs which with a large success were used by the effective and precise discipline of mathematics. Thus, since so strong proof for the existence of counter-world finally we were able to develop, it is worth to check now whether we live according to this proof. After all, the guesses to-date about the existence of the counter-world this proof replaces with the reliable knowledge and certainty of the existence of the counter- world.

In this point I would like to appeal to other lecturers of logic. Namely, I propose to take notice of the lack of meaning, motivation, and the absence of engagement in some examples of proofs presented in textbooks of logic - as an example consider the textbook proof "modus ponens" of the kind, quote: "Samson is strong", and "If Samson is strong, then it will take a woman to do him in." We can conclude "It will take a woman to do Samson in." (End of quote.) So instead in our lectures we use such examples deprived of actuality and meaning, I would rather suggest for example of proofs use e.g. the proof explained above, or proofs indicated below. After all, these proofs are to inspire students to thinking and to searches for truth, give more sense to their lives, will be agreeable with indications of our conscience, and in a non- imposing manner are going to add our own contribution to the fight for the prevalence of truth.

The proving procedure presented above was also utilized in several more proofs that are extremely important for each one of us. Namely it also allowed to formally prove that God does exist, that humans have immortal souls, and that it was God (not evolution) who created the first couple of people (i.e. the first woman and the first man). A formal scientific proof for the existence of God completed with the use of methods of mathematical logic, is presented in subsection I3.3.4 from the next chapter I (volume 5) of this series of monographs. In turn similar formal proofs for the existence eternal souls in people, and for the creation the first couple of people by God, are provided respectively in subsections I5.2.1 and I1.4.1 /?/ from the next volume-chapter I (volume 5) in this series of monographs.

=> H1.2.

H1.1.4. A formal scientific proof that the counter-world does exist, formulated according to principles of mathematical logic

The first formal scientific proof for the existence of the counter-world was published in subsections H1.1 to H1.1.3 from chapter H (volume 4) of the previous edition [1/4] of this monograph entitled "Advanced magnetic devices" in 2000. (Means it was published quite a long ago.) In fact, this proof was repeated three times in the indicated subsections, each time completed with a different physical methodology of scientific proving. This in turn illustrates that the scientific proving of so obvious matter as the existence of the counter-world, can be carried out not just on one, but on many entirely different ways. The scientific proof that "counter-world does exist" is quite important. It confirms scientifically facts which are explained to us by religions for thousands of years. Namely, it proves that this another world, popularly called the "other world" (e.g. consider the saying "they send him to the other world"), or "afterworld" (e.g. consider the saying "he shifted to afterworld"), in fact does exist in an objective manner. In turn this objective existence of the other world can be confirmed in a scientific manner. This in turn is just a small step away from the scientific proving, that whatever religions and folklore claim about God living in this other world, and about us going in there after our death, is also an objective truth and can be confirmed objectively with scientific methods. The scientific proof that "counter-world does exist" is for us equally binding as all other scientific proofs - for example as the proofs that the Earth is spherical, or that sides of a right-angled triangle fulfill the Pythagoras equation. For our own good we should rely on indications resulting from this proof in everything that we do. After all, if we do not consider it, then we are to stick to views and undertake actions which run against truth - means which contradict the true operation of the counter-world and the universe. In turn thinking and acting contradictive to the truth and to reality, inevitably brings not very pleasant consequences to us. In turn if we consider in our lives indications resulting from this proof, then in almost everything that we do, we are inclined to make corrections for the existence and influence of the counter- world on our lives and on the world around us. This in turn is the key to our future reaping fruits and rewards which await for these who learned the truth and who recognize it.

During my professorship at a Korean University in 2007, by some strange act of God in the second semester which coincided with the update of the fifth edition of this my most important monograph, I was granted the privilege of giving a series of lectures from the mathematical logic. A "by product" of these lectures was that to three previous versions of the formal proof for the existence of the counter-world completed before with the use of physical methods, I could add another version of the formal scientific proof for the existence of the counter-world which this time is completed with the use of methods of mathematical logic. Because this proof is short, I am quoting it below for the use of these readers who would like to get familiar with it, or wish to check the validity of it. However, I would still encourage to reach for further information regarding it, which is provided in subsection H1.1.4 from this volume 4 of the newest edition of this series of monographs. The base propositions of the above proof for the existence of the counter-world stem from attributes of the so-called "transverse waves" - the more extensive description of which is provided in different subsections of the Concept of Dipolar Gravity - see subsections I2.1 /?/ and I2.1.1 /?/ from the next chapter I (volume 5) of this series of monographs. But in order to save the reader reading these other descriptions, I remind here briefly that every wave is simply a moving oscillation. Thus in every wave two directions of motion are coexisting, namely the main direction in which a given wave moves, and also the main direction in which occurs the oscillatory motion that forms this wave. The "transverse waves" are simply such waves in which the main direction of a given oscillatory motion is perpendicular to the direction into which the entire wave moves. Most common examples of "transverse waves" are waves on water. The "transverse waves" must be clearly distinguished from the so-called "longitudinal waves" in which both above componential directions of motion occur along the same line. A most common example of longitudinal waves is probably a home toy in which steel balls hang on strings in a row, like pendulums, touching each other sideways. When we lift a first of these steel balls and provide it with a pendulum motion, then with the use this longitudinal wave this pendulum motion is transferred onto the last ball, which repeats it, then the motion is transferred back onto the first steel ball, etc. So here it is, the formal proof for the existence of the counter-world completed with the use of methods of mathematical logic:

Theorem:

"The counter-world does exist".

Basis propositions:

(1) "The electromagnetic waves display all attributes of the so-called "transverse

waves", and according to the present knowledge the electromagnetic waves must propagate in exactly the same manner as all known to us kinds of transverse waves do propagate. All known kinds of transverse waves propagate exclusively along the border between two mediums.

(2) The belonging of electromagnetic waves to the category of transverse waves which propagate along the border between two mediums means that in the space which these waves cross must either exist a border of some sort between two mediums which occupy our physical world, or must exists a border which remains invisible to our senses and undetectable to our instruments and which separates our physical world and the counter-world (the counter- world also remaining inaccessible for us and undetectable for our instruments) - each of these two worlds being filled up with a different medium. The fact that electromagnetic waves propagate across space in which our advanced physical instruments nor excellently provided and well paid scientific laboratories are unable to detect neither the existence of two different mediums, nor detect the existence of a border between two different mediums, eliminates completely the possibility that electromagnetic waves could propagate along a border between two different mediums that fill up our physical world.

(Explanation complementing this set (2) of premises: The cross-volume propagation of electromagnetic waves researched by our science, occurring through the space which for our measurement instruments appear as filled up with an uniform medium, combined with simultaneous behavior of these waves as if they propagate along the border of two different mediums, may only then take place, when these waves propagate along the surface of two different worlds, means along the border of our physical world, and some other world which remains inaccessible to our senses and undetectable to our instruments, and which is filled up with a different medium than our physical world. Since this other world had no scientific name so-far, the Concept of Dipolar Gravity which discovered and described it, named it the "counter-world".)

(3) The counter-world does NOT exist, or does exist. The propagation of electromagnetic waves along the border between our physical world and this counter-world eliminates completely the possibility that the counter-world does NOT exist.

Proof:

(1) The first basis proposition is to be transformed with the use of tautological form of the method known under the name of "hypothetical syllogism". This form can be written as [(p =>q) && (q => r)] => [p => r], in which the assertion "p" says "the electromagnetic waves display all attributes of the so-called transverse waves", while the assertion "q" says "according to the present knowledge electromagnetic waves must propagate in exactly the same manner as all known to us kinds of transverse waves do propagate", in turn the assertion "r" states "all known kinds of transverse waves propagate exclusively along the border between two mediums". The transformation of these propositions implies the conclusion that "the electromagnetic waves propagate exclusively along the border between two mediums".

(2) Accepting this previous conclusion for an assertion in the next phase of inference, and using the method of "disjunctive syllogism", the tautological form of which can be written as: [(p || q) && !p] => q, we obtain a next conclusion which states that "the electromagnetic waves must propagate along the border between our physical world and the counter-world."

(3) The last couple of propositions allows us to derive the final conclusion with method called the "disjunctive syllogism", the tautological form of which can be written as: [(p || q) && !p] => q. In this form the assertion "p" says "the counter-world does NOT exist", while assertion "q" states "the counter-world does exist". Thus the final conclusion states "the counter-world does exist"!

Conclusion

The above inference chain unambiguously and conclusively proves the truth of the theorem that "the counter-world does exist".

***

For the use of these readers who are NOT familiar with the notation that is applied in the above proof, I would like to explain that symbols "p", "q", and "r" mark subsequent "assertions" utilized in this proof as logical variables. In turn symbols "&&", "||", and "=>" mark logical operators "and", "inclusive or", and "implies" (if ... => then ...").

It is also worth to mention about the validity of the above proof. Because this proof utilizes exclusively tautological forms of subsequent methods, it remains valid for all values of variables it uses. Thus practically it is error-proof. If someone would like to undermine it, he or she would need to undermine first the validity of mathematical logic. In turn this logic is a foundation for countless mathematical proofs which with a large success were used by the effective and precise discipline of mathematics. Thus, since so strong proof for the existence of counter-world finally we were able to develop, it is worth to check now whether we live according to this proof. After all, the guesses to-date about the existence of the counter-world this proof replaces with the reliable knowledge and certainty of the existence of the counter- world.

In this point I would like to appeal to other lecturers of logic. Namely, I propose to take notice of the lack of meaning, motivation, and the absence of engagement in some examples of proofs presented in textbooks of logic - as an example consider the textbook proof "modus ponens" of the kind, quote: "Samson is strong", and "If Samson is strong, then it will take a woman to do him in." We can conclude "It will take a woman to do Samson in." (End of quote.) So instead in our lectures we use such examples deprived of actuality and meaning, I would rather suggest for example of proofs use e.g. the proof explained above, or proofs indicated below. After all, these proofs are to inspire students to thinking and to searches for truth, give more sense to their lives, will be agreeable with indications of our conscience, and in a non- imposing manner are going to add our own contribution to the fight for the prevalence of truth.

The proving procedure presented above was also utilized in several more proofs that are extremely important for each one of us. Namely it also allowed to formally prove that God does exist, that humans have immortal souls, and that it was God (not evolution) who created the first couple of people (i.e. the first woman and the first man). A formal scientific proof for the existence of God completed with the use of methods of mathematical logic, is presented in subsection I3.3.4 from the next chapter I (volume 5) of this series of monographs. In turn similar formal proofs for the existence eternal souls in people, and for the creation the first couple of people by God, are provided respectively in subsections I5.2.1 and I1.4.1 /?/ from the next volume-chapter I (volume 5) in this series of monographs.

=> H1.2.