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Philosophy and Nature of
SciencePart 1. Philosophy
Part 2. Philosophers
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Part 1.
Observation,
Hypothesis,
induction,Falsification,
Theory
Explanation
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Science divides into Methods and
Applications Method - Procedures for acquiring
knowledge Application - Use and purpose of
discoveries
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Questions asked in the
philosophy of science Is science based on faith? What is the scientific method? How are new discoveries treated? Is everything reducible to physics and
mathematics? Is everything reducible to a few rules?
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Ideal Scientific Method
Observation Repetition
Induction(1)Hypothesis
Deduction or generalizationConsequence or prediction
Testing Induction(2) Induction (1) not successful
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Critique of the Ideal scientific
Method Whats observed and studied depends on the currently acceptedexplanation
Explanation selects the observationExplanation Influenced by:
Brain hardwareGestalt formationOptical illusions
Brain Software
Education
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Induction
inductionObservation -----------------> Hypothesis
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Induction Induction goes from effect to cause. Effect can possibly have many causes.
A cause may have a single effect. Hypothesis is a kind of cause
cause effect
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Critique of Induction
There is no logical way of going fromobservation to hypothesis
Hypothesis is a simple guess
Frequently hypothesis precedes observation
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Maybe Hypotheses should be considered only
as Statements of Probability The universe is a series of stochastic events with
ill-defined boundaries
An hypothesis is neither true nor false. It is astatement of probability for success or failure.
Replace All swans are white
withWhat is the probability of finding a green orblack or blue swan?
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Genealogy of Certainty
Hypothesis --> Theory --> Fact
INCREASING CERTAINTY
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Are These:
Explanations, Hypotheses,Theories, or Facts? 2nd Law of Thermodynamics Newtons Law of Universal Gravitation Gas Law Ohms Law Electromagnetic Theory Kinetic Gas Theory Atomic Theory Theory of Relativity String Theory
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Hypothesis, Theory, Fact
Hypothesis are Guesses not logicallyderivable from deduction or Induction
Theories are statement of Probability
Facts do not exist- nothing is 100% certain
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Verification & Falsification
What is meant by explanation?
What is a fact?
When is a
Fact verified?
How many observations needed?
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Form Hypothesis
I put a balloon in my refrigerator and funny thingshappened . I really need an explanation.
First the balloon shriveled up.
Next, the balloon changed color from red to blue.
Finally the balloon said, Get me out of here. Its too cold!
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Deduction and Induction
induction Observation ------------> Hypothesis
deduction Hypothesis ------------> Observation
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Deduction
If there is no cogent way of going fromobservation to hypothesis
Then there is no cogent way of deducingfrom hypothesis to observation
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Critique of deduction
Is Deduction outside of mathematics possible?If this X, then that Y
Are parameters really known? Is X truly an X Is the equipment properly controlled? Can one recognize an X or a Y ?
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Critique of Deduction
Modern Science does not seek causes butseeks relationship among variables
Independent variables are not causes anddependent variables are not effects
If one knows Y =g(x), can one predict(deduce) the future?
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Critique of Hypothetico-
Deductive Method Y = g(X) implies X is selectable and Y is
determinable
We know X and Y only within someprecision range: x1, x2, x3,y1,y2,y3,..
Within the area defined by the range of Xand the range of Y there is no Y=g(X)
All equations are statement of probability
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Verification and Falsification
Replace Verification with Falsification Verification and falsification are asymmetrical
Multiple verification does not establish a theorymore than a single verification
A single falsification overturns a theory
It takes only one green swan overturns the theory that all swansare white. Observing one million white swans does no more to prove allswans are white than witnessing ten white
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Falsification
It is nearly impossible to falsify an hypothesis. Since a test depends on many factors it is difficult
to determine whether the hypothesis failed are oneof the other factors failed.
Some failures of dependent factors:
precision and accuracy of instrumentation, correctinterpretation of data, flawless recording of data,improper experimental conditions
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What is an Explanation?
Hypothesis is not always an explanation Explanations reference non-observables
Science explains objective reality in termsof a non-objective, non-observable reality
Among non-observable objects are
electrons, quarks, photons, gluons,gravitons, positrons, black holes, dark matter, dark energy
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Explanation
Explanation is to ask a quantifiable question
Explanation is not to ask a why question
Explanation is a sequence of events.
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Limits of Explanation
The ultimate building blocks of the universe donot interact with our instruments at all or elseinteract too strongly so that physical nature alters.
It is possible we are at the end of traditionalempiricism where observations suggest for or elsetest for hypothesis.
String theory perhaps is an harbinger of Post-scientism wherein hypothesis andobservation formally separate
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Theory Have Limits of
Application Ptolemaic Astronomy replaced by Copernican Astronomy replaced by Newtonian Astronomy replaced by Einsteinium Astronomy replaced by
Quantum Gravity Theory
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Gloss
A Law is an late 18th and early19th century was of saying theory:LAW = THEORY
Theory gives a mathematical relationship between observable
dependent and observable independent variables .The distinction between independent and dependent variable is arbitrary.
Hypothesis gives a mathematical relationship between non-observableand observable variables
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Overall Criteria for Theories
Consistent Parsimonious
Correlative Empirically Testable ( verifiable& falsifiable) Useful
Progressive Retrogressive
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Criteria for Theory
Logical Empirical Sociological Historical
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Logical Criterion
Clear and explicit boundary conditions
Falsifiable ( imagine conditions theory is invalid)
Every theory had limits of applicability( falsifiable means not disproving a theory but ratherdetermining limits of use)
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Empirical Criterion
Provides guidelines to interpret data
Verifiable prediction and retrodiction ( pastevents )
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Sociological Criterion
Resolves anomalies of current theories
Defines new concepts of operations to solveproblems
Propose new paradigm or problems(a paradigm is a model, a world in miniature
mathematically)
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Historical Criterion
Consistence or coherent with pre-existingtheories of established validity
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Part 2
David Hume Karl Popper Thomas Kuhn Imre Lakatos
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David Hume(1711-1776)
Scottish Empiricist- All we know is throughexperience
Hume argued we are not justified in makinggeneralizations from observations because ourobservation are finite in number
To know something we need to experience it.Obviously we cannot have experience of thefuture so we cannot know it.
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Causation
Hume attacked reasoning from cause to effect Two colliding billiard balls are not predictable. No
logical connection between first ball, causing second ballto roll. We know this only by experience.
We cannot use reason to make predictions (future).Experience cannot tell us about the world (future) eitherbecause we experience only the past.
We believe Sun will rise tomorrow based on experiencenot reason.
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Newtons Laws
Does Newtons Three laws of dynamics predictthe future of colliding billiard balls?
Newtons laws cannot predict trajectory of realbilliard balls due to unknown boundaryconditions, and to first order nature of the Laws.
If Newtons Laws were exact and boundary
conditions known, then past and present arecontemporaneous
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Thomas Kuhn (1922-1996)
All research presupposes a world-view,a collection of fundamental objects, natural laws, definitions, andabove all a definition of what research is.
Kuhn called a world-view, paradigms
Mature science have established paradigms Example of mature sciences are chemistry, physics,
geology; whereas, economics and psychology are
immature sciences.
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Model or Paradigm
Intellectual excision (setting boundary conditions)from the universe or sub-set of universe, entitiesarbitrary in design but relevant to problem understudy
Assembly of entities into a simplified representationof the universe or subset of universe
Determining probability of events with set of variables spanning selected ranges
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Paradigm Thomas Kuhn popularized the term in his book The Structure
of Scientific Revolutions (1996) by using it to describe howscience works. According to Kuhn, scientific explanations of the world are controlled by a paradigm, some model of howthe world is expected to work and into which actualobservations are fitted, even if the fit is not very exact. Asinexact fits accumulate, it becomes more apparent that thedominant paradigm is inadequate as a model of reality. Whenenough contradictions exist, a paradigm revolution occurs anda new paradigm is adopted.
The word paradigm comes from the Greek paradeiknunai andmeans "to compare." In science and philosophy it has thesame basic meaning as in common usage: a model orinstance used as a basis or example for further work.
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Need for Paradigms
Research requires paradigms Paradigms are models of the way the world works
Without paradigms research is a random collectionof observations lacking unification of structureinto a whole.
Without paradigms, it is not possible to decidewhich are and which are not importantobservations
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Dominant Paradigms
As a field matures, one paradigm becomesthe dominant one. Once paradigms isestablished research progresses quickly
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Paradigm guides direction of Research
It becomes clear with aid of paradigmwhich research areas are fruitful. These
areas are ones not totally explained
Paradigms give concepts and laws to build
on.
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Paradigm Shift
Paradigm shift occurs when old paradigmshown inadequate
What is defined as research is reevaluatedConcepts turn upside down
Earlier research is reinterpreted
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Real research
Real research occurs during a paradigmshift
Once a paradigm dominates, researchbecomes puzzle solving
Puzzle solving is not research since answers
known beforehand
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Example of Puzzle Solving
After Newton explained solar system, laterscientists using Newtons theory predicted
The presence of the then unknown planetsNeptune, Uranus, and Pluto
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What New Paradigms Do
Discovery of new paradigm results in newquestions being asked and old questions
abandoned Newton saw gravitation as a property of
matter. Earlier theories tried to find a
mechanical explanation as whirlpools inspace or angels.
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Paradigms are Incommensurable
Paradigms have different world view. It isdifficult to compare them
Consequently, science defines truth relativeto a paradigm and not absolutely. Truth is a
story
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Science
Science is a conformist society which present onlythe currently accepted theoryConsequently science defines reality relative to theaccepted paradigm
Students are educated into the accepted paradigmand to ignore alternative paradigms
The society of science determines what scientistsobserve
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Paradigm Diagram
old paradigm unexplained observations competing newparadigms
one dominant paradigmpuzzle solving
i n c o m m e n s u r a t e
unsolved puzzles ignored
Mopping up operation
unexplained observations andalternative interpretation ignoreduntil enough accumulates to overturncurrent paradigm
unexplained observations
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Sir Karl Popper (1902-1994)
Falsification is the idea that science advances by unjustified,exaggerated guesses followed by unstinting criticism.
Any "positive support" for theories is both unobtainable andsuperfluous; all we can and need do is create theories andeliminate error
Scientists never actually use induction. It is impossible toverify propositions by reference to experience
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Karl Popper
All observations are selective and theory laden A demarcation between science and pseudo-
science is established by falsification. A theory isscientific only if it is refutable by a conceivableevent
Every genuine test of a scientific theory is basedon an asymmetry between verification andfalsification
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Karl Popper
Popper replaces induction with falsification Science is not distinguished from non-
science on basis of methodology. Nounique methodology specific to science
Science consists mostly of problem solving.
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Imre Lakatos (1922 - 1974) `
All scientific theories are equally unprovable
Falsification doesnt work due to rescuehypotheses
the "basic unit" of scientific development is not
the scientific theory, such that scienceprogresses when one theory proves to bemore successful than another .
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Imre Lakatos
the "basic unit" is actually the researchprogram . Science progresses when oneresearch program becomes more productive
and more useful than other and, hence,receives a greater share of social resourcesthrough funding and younger scientists lookingto join. A research program is characterized bya particular set of "hard core" fundamental
ideas and is deemed successful so long as itcontents continue to increase .
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Imre Lakatos
In reality scientists do not abandon theories. They inventrescue hypotheses or ignore anomalies or refutations
Popperian crucial experiments and Kuhnian revolutionsturn out to be myths. What happens is progressive
research replaces degenerating ones .
Progressive scientific programs predict and producedramatic, unexpected observations and results
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