Formal vs Informal reasoning: Reasoning can be described as the ability to think and to make logical and rational decisions. However, reasoning is not a unidimensional construct. It is important to differentiate between formal and informal reasoning. Formal reasoning involves solving problems whereby all relevant information is specified in advance and where only one suitable response exists. Informal reasoning or everyday reasoning addresses how people think and solve problems in situations where not all premises are stated and where multiple solution paths exist. This distinction is comparable to well- and ill-structured problems.Scientific reasoning is often characterized as the latter.
Toulmin Argument Model:
Classification of Claims:
1 - Claim of Fact – presented as a plain factual statement like “Far
more kids are engaged in cheating in school than the teachers think”
2
- Claim of Definition – presented to offer a definition or
characterization like “The kid wasn’t cheating; he was just harmlessly
cutting a corner”
3 - Claim of Quality – presented to make a value judgment about something like “Those teachers are incompetent”
4
- Claim of Policy – presented as a suggested course of action like
“They should allow the kids to work together and share ideas like
they’ll have to in the workplace”
Inferential Patterns: Example Analogy Sign Cause Commonplace Form
Controversy-Resolution:
Topoi: critical issues For a claim of fact, there are two topoi; 1) ‘How would we know if the
claim is true?’ and 2) ‘Have those conditions been met?’ So going to our
example (“Far more kids are engaged in cheating in school than the
teachers think”), some issues suggested by those topoi are: How many
kids are engaged in cheating? How many kids do the teachers think are
cheating? How many more would be “Far More” than teachers think, and are
that many more cheating? The degree to which you can answer
those questions indicates the strength of your position. NOTE – (this is
important) - It is usually NOT PRACTICAL (or even possible) to answer
the issues with absolute proof. If it were possible, then there would
NOT be a controversy! There are three kinds (and a few subtypes) and we
will talk about how you weigh supporting evidence in the coming weeks.
For now, just know that there is seldom “incontrovertible evidence” for
anything that is controversial in business.
For a claim of
definition, there are three topoi; 1) ‘Is the definition relevant?’, 2)
‘Is the definition fair?’, and 3) ‘How do we choose between competing
definitions?’ So going to our example (“The kid wasn’t cheating; he was
just harmlessly cutting a corner”), some issues suggested by those topoi
are: Does it matter if we share a common understanding of what
‘cheating’ is ? Is it important not to cheat in school? Is there a
difference between ‘cheating’ and ‘cutting corners’? Would the activity
that the kid was engaged in constitute what we consider cheating? How
are ‘cheating’ and ‘cutting corners’ different? Can we agree on enough
differences between ‘cheating’ and ‘cutting corners’ so that we can
differentiate between them? You may see why the topoi are my
favorite method – it offers guidance in creating issues. This was always
a problem for me when I started out in business. People would say
something that didn’t seem quite right, but I never knew what to say to
challenge them. Learning the topoi helped me a great deal.
For a claim of quality,
there are three topoi; 1) ‘Is the value true?’, 2) ‘Is the value
generally relevant or specifically relevant?’, and 3) ‘How do we choose
between competing values?’ So going to our example (“Those teachers are
incompetent”), some issues suggested by those topoi are: How do we judge
if the teachers meet our definition of incompetent? Are they
incompetent in all things, some things, or just in some specific thing
that may not be relevant to the resolution? If we characterized their
incompetence as ‘stupidity’ or ‘laziness’, would we feel that those
(competing) values better describe our perception of them?
For a claim of policy, there
are four topoi; 1) ‘Is there a problem (reason to change from the
current state)?’, 2) ‘What is the problem?’, 3) ‘Does the proposal solve
the problem?’, and 4) ‘Is the proposal better than the problem?’ So
going to our example (“They should allow the kids to work together and
share ideas like they’ll have to in the workplace”), some issues
suggested by those topoi are: Is there a problem with kids competing? Is
there a problem with kids competing in school differently than they
will at work? Is competition the problem? Is there enough collaboration
going on so that kids learn both working styles? Does allowing kids to
collaborate keep them from cheating? Are there other impacts (expense,
curriculum, facilities, teacher training, etc.) that would have to
change in order to permit collaboration? Will it be worth it? Case: a set of claims to support a resolution
Patterns of Case:
For Parallel and Convergent Patterns: Organizational Structures Chronological Spatial Categorical Cause-effect or Problem-solution Compare and Contrast Stasis: the point where two arguments disagree Attack an Argument:
Defense an Argument: 1.The attack is not applicable to the case 2.The attack is trivial 3.Attack argument is inadequately established 4.Error in attack 5.Acknowledge before being attacked
Arguing to Learn in Science: the Role of Collaborative Critical Discourse