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LOGIC
In every subject matter Aristotle continued his predecessors by
giving his own theories for further developments, but In logic
he was the first to conceive of a systematic treatment of
correct inference and because of this he is considered to be the
founder of logic.The logic he has explained in prior analyticus
Logic is the Important instrument for acquisition of genuine
knowledge
Logic is an elaboration of methods employed in search of at!
knowledge and It is called as science of sciences. Logic Is
concerned with thought forms and thinking process to achieve
truth.
Theory of
argument:
Argument is a discourse that tries to prove a point. The
proposition of an argument fries to support its conclusions. And
those propositions, which are addressed or which are put forward
are called premises. Aristotle recognised two types or
arguments.
1. DEDUCTIVE LOGIC
2. INDUCTIVE LOGIC
DEDUCTIVE
LOGIC:
A deduction is an argument in which the conclusion follows
necessarily from the premises. Aristotle's deductive method is
other wise called as SYLLOGISM - which means computation.
Aristotle means syllogism as a valid argument or at least any
argument with a conclusion different from any of his premises.
Every syllogism consists of 3 parts
1. Major premises - usually a universal law which will be always
firm and affixing
2. Minor premise - subject
3. Conclusion
All men are mortal
Ram is a man
Ram is mortal
It can be continued - the conclusion of one syllogism can be
used as 8 premise for other syllogism. Series of syllogism
applied until we reach up to a law. Basic principles never
requires premises.
1. Complete: a method in which conclusion follows obviously from
premises
2. Incomplete deduction: conclusion is not obvious. It requires
adequate steps of reasoning between the premises and
conclusions.
INDUCTIVE
LOGIC:
Argues from particular to universe (general) .i.e it Infers
e general claim from a number of instances.
Ram has 2 eyes
Sri has 2 eyes
Sita has 2 eyes
Humans has 2 eyes
It is invalid by adding a right premise that single counter
example is sufficient to block the inductive inference.
Therefore, a good inductive argument must also suppose that,
there Is a counter example. Counter example with be any argument
that form a false conclusion from the premises.
USAGE OF ARGUMENTS:
1.Demonstrative science:
Aristotle used the word 'epistem' for knowledge which means body
of knowledge about some subject, organized into a system of
proofs or demonstration. To know scientifically Js to know the
causes-Scientific study to identify the causes reason. why it
must be as It is and cannot be other wise. Aristotle supposes
that deductions had epistemic power. If the premises are true,
then that knowledge together with knowledge of deduction bring
the conclusion. For this purpose Aristotle puts 2 conditions.
1. Premises must be true
2. Premises must stand in appropriate relationship to the
conclusion
Knowledge is acquired as the
1. innate power to perceive
2. Then memory of what have been perceived and
3. Finally reaching awareness or recognition of a universal
present in series of perceptions.
Many perceptions toad to memories, many memories leads to
experience and many experiences eventuality leads to universal
truth or the first principle. Every soul has innate ability to
perceive by seeing many of the instances.
2.Defirnition and Division:
Aristotle defines definition as " an account which signifies
what is to be something", As accounts of things of nature,
definitions are product of scientific and philosophical enquiry.
Every definition consists of two aspects.
1. Determination of under what kind it follows
2. What characteristic differentiates it from within that kind
,differentiate should be per genus.
According to Aristotle definitions should explain the nature and
unique property Requirements of definition:
1. A definition should not contain the name or matter to be
defined
2. It should be exactly equivalent to the class of object
defined, It must be neither too narrow nor too broad.
1. Definitions must not be expressed In obscure or figurative or
ambiguous language
1. It should be In affirmative case and not negative,
3.Cateoories of predicates:
They are used as strategies for argument. All predicates
shall be one of the following
1. What His?
2- Quantity
3. Quality
4. Relationship
5. Location
6. State
7. Time
8. Posture or position
9. Activity
10. Passivity (what it is subject to)
4.Dialectic
The word dialectic means argue. Which are directed at
another person, which proceeds by asking questions.
Types:
1. Sophistic philosophy: a kind of verbal contrast that aims
at winning by any means
2. Rhetorical argument: combined procedures of dialectical
argument with a study of type of audience. To be encountered and
the premise of each type will be found persuasive-
INDUCTION: J S Mill 1806-1873
Systematic nature of reality is the basis of all inference, ie a
is the interconnectedness or unity. This inference is called as
induction. On that we form the universal law or construct the so
called system, applying this universal law to particulars -
deduction
Stages of induction
Observation of facts
Formulation of hypothesis
Deduction of consequences from the derived hypothesis -
verification
Proof
Impartial collection of alt factors are needed without any
prejudice. Once this factors are collected, on examination we
can deduce an hypothesis related to that phenomena.
In the third state i-e deduce the consequences from the observed
facts with the idea of the formulated hypothesis. During this
deductive process, either the hypothesis is confirmed or
nonconformity - this has to be verified. This verification is a
must. if there is confusion regarding he interrelation of
factors. Then it is subjected to further test or experiment. In
this further experiment some of the factors are excluded and the
reliable things are accepted - verification.
This deduction and verification alone never gives the basis of
formulation of law. This has to be verified in other Instances
also and ft is 1o be confirmed from other experiments, that no
other factors are responsible for the phenomena. This provides
the proof of our hypothesis and is considered as the taw.
Induction and deduction are parallel methods of studying (not
similar or opposite)
The cause off phenomena is invariable unconditional antecedent
of an event, in its presence the phenomena should occur and in
its absence it should not occur. If any circumstance is not so
affected to the phenomena whose cause we seek. Then we should
eliminate it as not being its cause. The grounds on which we
eliminate are
1 - That Is not the cause of phenomena in the absence of which
the phenomena occurs.
2- It is not the cause of the phenomena in the presence of which
the phenomena to occur.
3. That is not the cause, which varies when it is constant or it
is constant it varies or varies in no proportionate manner with
ft.
4. that Is not the cause of the phenomena which is known to be
the cause of another phenomena.
The rules of elimination are the negative method of stating the
conditions of casual relation. A cause and its effect must be co
present or co absent and any change that occurs in the one must
be reflected in the other. Method explained by Mill involve the
principle of elimination.
Method of agreement;
This method consists in comparing several positive instances
of the phenomena under investigation and discovering Its cause
and effect, as the case may be, by seeing in what instances they
agree. If 2 or more instances of the phenomena under
investigation have only one circumstance In common, the
circumstance in which alone an the instances agree is the cause
of the given phenomena. What ever circumstances can be excluded,
without prejudistic phenomena or can be absent not withstanding
it presence is not connected with It in the way of causation and
the casual circumstances being thus eliminated, if only one
remains that one is the cause which we are in search of. Usually
we may not reach one cause, more than one factors may be the
cause of one particular phenomena.
Example:
P = phenomena. A to G = causes
P1-A.B,C,D
P2-A,C,D,E
P3-A,D,E,F
P4-A.E.F.G
A is the cause of event P
2. Method of
difference:
If an instance In which the phenomena under investigation occur
and an instance in which it does not occur having every
circumstances in common save one, that one occurring only in the
former, the circumstances in which alone the 2 instances differ
in that effect or the cause or indispensable part of the cause
of the phenomena. Here we are examining a positive and a
negative instances.
Example:
P , Q, R = Phenomena; c»d,e are factors
PQR -cde
QR" de
Then c is the cause of P
PI D A,B,C,D
P2DA,C,D.E
P3 0 A.D.E.F
PO D D,E,F
POOE.F.G
4. Concomitant variation:
Any circumstances which is unaffected by the variation of e
phenomena cannot be connected by way of causation. Mill stated
*what ever phenomena varies in any manner, whenever another
phenomena varies in same particular manner is either a cause or
an effect of that phenomena is connected with it through some
fact of causation. If a variation in a case is followed by a
corresponding variation in phenomena or effect, then (he two are
casualty connected.
Example:
PI D A, B. C, D
P'2 D A', B, C, D
P-3 D A". B. C. D
5. Method of residue:
PQRDcde
QDd
RDe
therefore, P D c
This method can be employed only at a late stage of casual
investigation, ff several parts of complex phenomena have been
explained in terms of their antecedent circumstances, then the
remaining part or parts of the phenomena can be determined to be
the effect of he antecedent factors which are yet left over.
Subduct from any phenomena such part as is known by previous
induction to be the effect of certain antecedent and then the
residue of the phenomena is the effect of the remaining
antecedents
DOCTRINE OF FORCE
Concept
of GOTTFRiED WILHELM LEIBNIZ:
(Born in Leipzic in 1646 and died on 14" November, 1716.]
Born In Germany, a mathematician and a philosopher. The third
important person in rationalistic philosophy.
1. Rene Descartes: Dualism - matter and mind. Matter In the form
of extension and mind is the thought. Interconnection between
two. Brain as the centre of interconnection.
2. Spinosa: Never agreed with dualism concept. Only single
existence - monistic -nature of God.
3. Leibniz - Existence is not m the form of thought and
extension; but by force. Idea exist due to force which is
inherent in it is catted MONADS - ft is the centre of force - ft
is inherent in every matter, every organism. Each atom has its
own monads. The universe has a number of monads - macrocosom.
QUALITIES OF MONADS:
1. Every monad is able to perceive
2. It has no windows - nothing can be added or removed. It is
predetermined
3. There is a unity and harmony in functioning of different
monads as different monads work together
4. Every individual monads is unique - it has its own quality.
This is able to transform. The transformation of quality within
the monad is called 'APPETITE'.
Low quality monad - Bare monad. Mass of bare monads ad
aggregates of bare monads. In living organism QUeen monad .i.e
higher quality monad. The quality of monad of tower animal is
different from that of higher animal. Lower monad - perception
will be limited called petite perception. In higher animals a
perception - reflexive knowledge of inner stage .i.e
self-consciousness.
HENRI BERGSON (1857 - 1941)
He was a French philosopher. Anti rationalistic philosopher.
Promoted the idea of intuitionalism
Materialistic phenomena - include space (distribution of
simultaneously existing object) and time (expression of the
sequence of existence of phenomena which replace one another
According to Bergson:- Philosophy is intellect and intellectual
analysis - etudes the concept of conventional method of study
of reality because every phenomena is time oriented and analysis
is space oriented. Because of this Bergson was against
rationalism or materialism.Berflson questions the concept of
scientific and logical explanation giving relevance to space.
Bergson gives first importance to time secondary to space. Time
is (he very basic
principle which governs or the reality or the being (existence)
Bergson applied the term *- - DURATION - instead of time.
"duration" is continuing, dynamic and non static which grows in
every minute and during this progress something is given out
added and is called 'ELAM VITAL'. The dynamic property of
DURATION cannot be possessed by special configuration, so
analytical study of metaphysical explanation cannot rise (he
essence of things, .ie the vita* aspect is tost here. This
essence or 'vital1is not m the past of thing, but is the
totality. Space is governed by DURATION. Bus.process of'd
uration* every phenomena progress or evoke to certain end with
certain aim and is called creative evaluator Example: formation
of snow or salt crystal.
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