In Section-II of this thesis, first I presented summery of theory of logic then constructed a logical proof of illegitimacy of Riba Income. Here I am copying only the last portion of Section-II (i.e. excluding summery of theory of logic) This is also incomplete in the end because due to many reasons I lost interest to complete it. But I shall welcome any attempt to complete it:
Construction of Logical Proof about the Illegitimacy of Riba Income:
After having presented the summery of underlying concepts and rules of both traditional formal logic and modern symbolic logic, now we shall construct the logical proof about the illegitimacy of riba income using the above presented concepts and rules of formal as well as modern symbolic logic.
Logical Proof about the Illegitimacy of Riba Income using Traditional Formal Logic:
In order to logically prove that riba is an illegitimate form of income, using the formal logic, we shall have to construct such a standard form categorical syllogistic argument which shall have the following characteristics:
- The argument’s standard form must be one of the 15 valid forms. If our argument’s standard form will be one of the 15 valid forms, it would be objectively proved that our argument is valid.
- We have to use such two true premises for the construction of our argument whose necessary conclusion should assert that riba is an illegitimate form of income. Our premises’ truth value must be true. It is necessary because only the validity of the argument does not prove the truth of its conclusion. But if in a valid argument, the truth value of both the premises is true; then it shall be objectively proved that the truth value of the conclusion is also true. Here we are interested not only in the validity of our argument; we are also interested in the truth value of our conclusion. The validity of the argument is important because if we construct an invalid argument whose conclusion asserts that riba is an illegitimate form of income, here our conclusion, even if its truth value is true, shall be having no valid basis. We are interested in arriving at this same conclusion but on sound and solid footings. We are also interested in the true truth value of our conclusion because it is exactly what we want to prove. At this point, we need to clarify our position also. Yes! We openly admit that we want to arrive at a particular true conclusion. One may think that we shall maliciously manipulate the structure of our logic just for to arrive at a pre-determined conclusion. We have honestly admitted that yes we want to arrive at a pre-determined conclusion and for this purpose obviously we shall have to design the structure of our premises in such a way that their necessary outcome should be such a conclusion which should assert that riba is an illegitimate form of income. So it is true that we shall design the structure of our premises as per our own pre-determined intention but the point to be clarified is that we shall do it in an objective manner. It means that the structure of our premises shall be in accordance with the rules of the theory of logic and the contents of our premises shall come from the currently accepted theories of Economics. Our intention is pre-determined not just because we are sure about the true truth value of our intended conclusion in a subjective manner. Actually there are certain theories of Economics which are currently accepted to be true and which are in our notice in such a manner that we know that their obvious logical outcome would be such a ‘true’ conclusion which shall assert that riba income is an illegitimate form of income. So actually the ground for our intended logical structure is already available in the existing theories of Economics. The ground for such a logical structure is available but a tangible such logical structure is yet to be formed. This is exactly what we want to do in this section of this thesis. It is true that we are also sure about the true truth value of our intended conclusion in a subjective manner. But we are also aware of the existence of such a ground in the already existing theories of Economics which can be used as a solid logical base as an objective support to our subjective belief. A question arises is that if the ground for such a logical basis is available then why it has not yet been converted into a tangible structure which openly declares the ‘return to money’ as an illegitimate form of income, by the western Economists. In our opinion, the presence of a sufficient logical basis that go against the ‘return to money’ as a legitimate form of income is so much obvious that we cannot assume that western Economists are just un-aware about it. In our opinion, it is likely that western Economists are very much aware about it but they deliberately avoid projecting such a truth which goes against their favored capitalist economic system. So the fact seems to be is that ‘return to money’ i.e. ‘riba’ can be easily logically proved to be an illegitimate form of income. Western Economists are not interested in doing it but we are. And we are not going to prove this by just maliciously manipulating the structure of logic in a desired way by directing it towards a pre-determined end. We are aware of such already existing solid logical ground which is helpful for the achievement of our desired objective. We are just converting that already existing logical ground into a tangible logical structure so as to construct such a solid logical base which can be used as an objective support to our already existing subjective belief.
For the construction of our logical proof regarding the illegitimacy of the riba income, we shall take basic propositions from various theories of Economics such as Production Theory and Income Distribution Theory of Economics etc. We shall perform some logical reasoning upon those basic propositions in order to construct the premises of our main argument which shall show that riba income is an illegitimate form of income. So let us start by considering the following propositions which are a part of the theory of Economics:
According to Production Theory of Economics:
Production in Economy is the result of combined efforts of four factors of production which are (i) land, (ii) labour, (iii) capital and (iv) organization;
According to the theory of National Income (suppose a closed economy):
Production in Economy = National Income
According to Income Distribution Theory of Economics:
National Income is to be divided among only four factors of production because ‘income’ is the result of ‘production’; and ‘production’ is the result of the combined efforts of only four factors of production.
The following proposition can be easily derived out of above mentioned description of the Income Distribution Theory of Economics:
- Only Factor Income is the legitimate income.
On the basis of the above mentioned proposition, the following proposition also can be easily derived:
- Non-Factor Income is illegitimate income. …(i)
Now refer to section-II of this thesis where we have seen the following:
‘Interest’ according to 2[SUP]nd[/SUP] type of definition is Non-Factor Income. We also concluded in section-II that 2[SUP]nd[/SUP] type of definition is not in fact the definition of ‘interest’ but is the definition of ‘riba’.
So on the basis of above mentioned points of the section-II of this thesis, the following proposition can be easily derived:
- Riba is Non-Factor Income. …(ii)
Now we are in a position to construct a standard form syllogistic argument by converting propositions (i) and (ii) into standard-form categorical propositions and using them as premises of our main argument which is following:
- All Non-Factor Income is illegitimate income.
- All Riba is Non-Factor Income.
- Therefore all Riba is illegitimate income.
The conclusion of our argument clearly asserts that riba is illegitimate form of income. Mere fact that the conclusion of an argument asserts something is not the proof however that (i) assertion is based on solid logical footing and; (ii) assertion is true. To prove that (i) assertion is based on solid logical footing, we need to prove that our argument is valid; and to prove that (ii) assertion is true, we need to mention objective evidence in support of the true truth value of our premises. So let us first prove that our argument is valid:
In our argument:
Major Term = P = illegitimate income
Minor Term = S = Riba
Middle Term = M = Non-Factor Income
Major Premise = All
Non-Factor Income is illegitimate income. = ‘A’ proposition.
Minor Premise = All Riba is
Non-Factor Income. = ‘A’ proposition.
Conclusion = Therefore all Riba is illegitimate income. = ‘A’ proposition.
The formal logical structure of our argument is as follows:
- All M is P
- All S is M
- .. All S is P
The
mood of our argument is ‘AAA’ because all the three propositions in the argument i.e. two premises and one conclusion are all ‘universal affirmative propositions’.
In order to decide about the
figure of our argument, we need to compare the pattern of the occurrence of the middle term in the premises with the four possible figures which we already discussed but we again mention them below for ready reference purpose:
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|
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1[SUP]st[/SUP] Figure
| 2[SUP]nd[/SUP] Figure
| 3[SUP]rd[/SUP] Figure
| 4[SUP]th[/SUP] Figure
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Now if we compare the pattern of the occurrence of middle term ‘M’ in the premises of our argument, we can easily find that it is same to that of 1[SUP]st[/SUP] figure. It means that the figure of our argument is 1[SUP]st[/SUP].
We know that
form of an argument is stated in terms of both its
mood and
figure. Since the
mood of our argument is AAA and the
figure is 1[SUP]st[/SUP], so the
form of our argument is AAA-1. And since any argument having standard form of AAA-1 has to be a valid argument
so it is objectively proved that our argument whose conclusion assets that riba is illegitimate income; is valid argument. It is so because the standard form AAA-1 is included in the list of 15 valid standard syllogistic forms. The special name which has been assigned to this valid standard form syllogistic argument i.e. AAA-1 is ‘Barbara’. The list of 15 valid standard syllogistic forms has already been given in this section.
Our argument has been proved to be a valid argument. The meaning of its validity however is not more than that whatever the truth value of its conclusion is, it has solid logical footing. So if the truth value of our conclusion is true then it is proved that the true assertion that riba is illegitimate income has solid logical footing. But we still are not confirmed that the truth value of our conclusion is essentially true. If our argument is based on one or both such premises whose truth value is false then we cannot get objective surety about the truth of our conclusion even if our argument is valid. After having proved that our argument is valid, now we are in need to objectively prove that the truth value of our conclusion is true. We can get objective surety that truth value of our conclusion is true if we provide objective evidence that truth value of our both the premises is true.
We have constructed the structure of our premises on the basis of following three basic propositions:
- Production in Economy is the result of combined efforts of four factors of production which are (i) land, (ii) labour, (iii) capital and (iv) organization;
- Production in Economy = National Income and;
- National Income is to be divided among only four factors of production.
First of all, at this stage, we are in need to give supporting objective evidences in respect of the assertions of all the above mentioned propositions. These objective evidences shall be in the form of references and quotations from any book on Economics written by some famous author/s.
First Proposition:
Production in Economy is the result of combined efforts of four factors of production which are (i) land, (ii) labour, (iii) capital and (iv) organization;
Objective Evidence:
Second Proposition:
Production in Economy = National Income
Objective Evidence:
“What is National Income? It is the loose name we give for the money measure of the over-all annual flow of goods and services in an economy.”
“The net national product, or “national income evaluated at market prices” as it is technically named, is definable as the total money value of the flow of final products of the community.”
(Economics – An Introductory Analysis, by Paul A. Samuelson, fifth edition, pages 212 & 214)
Note: The above definitions of National income talk of ‘annual flow of goods and services in the economy’, instead of annual production of economy. the ‘annual flow of goods and services’ may include, in addition to domestic annual production of the economy, the value of difference of imported and exported goods. But under the assumption of closed economy, the annual flow of goods and services shall be equal to the value of annual production of goods and services in the economy.