Boeing
5301 Bolsa Ave.
Huntington Beach, CA 92647-2099


S U M M A R Y


DIARY: November 28, 2006 10:19 AM Tuesday; Garold L. Johnson

Argument Mapping

1...Summary/Objective
2...What is Argument Mapping?
3...Definitions from the Tutorials
4...Two fundamental macrostructural rules.

ACTION ITEMS.................. Click here to comment!

1...Find the "Logic of Everyday Arguments" book and flesh out the

CONTACTS 

SUBJECTS
Argument Mapping

0403 -
0403 -    ..
0404 - Summary/Objective
0405 -
040501 - Follow up
040502 -
040504 -  ..
040505 - Website for "Rationale", which claims to be the major software for
040506 - Argument Mapping.
040507 -
040508 -    http://www.austhink.com/
040510 -  ..
040511 - What is Argument Mapping?
040512 -
040513 - Argument mapping is, roughly, making a picture of reasoning.  More
040514 - precisely, it is the graphical display of the structure of reasoning
040515 - and argumentation.
040517 -  ..
040518 - Typically, argument maps are box-and-arrow diagrams, a bit like
040519 - flowcharts. Argument mapping belongs to a family of "thought mapping"
040520 - techniques which includes concept mapping and mind mapping.  Argument
040521 - mapping is distinctive in focusing exclusively on reasoning or
040522 - argument structure, and is specialized for that purpose.
040524 -  ..
040525 - See "The Logic of Everyday Arguments" for a text based analysis
040526 - system.
040527 -
040528 -    Find the "Logic of Everyday Arguments" book and flesh out the
040529 -    reference.
040531 -  ..
040532 - Definitions from the Tutorials
040533 -
040534 - Tutorials can be found at
040535 -
040536 -    http://www.austhink.com/reason/tutorials/
040537 -
040539 -  ..
040540 - A claim is a proposition put forward by somebody as true.
040542 -  ..
040543 - A reason is a piece of evidence in support of some claim.
040544 - Technically, a reason is a set of claims working together to provide
040545 - evidence that another claim is true.
040547 -  ..
040548 - A contention is a claim for which some evidence is presented, whether
040549 - for or against.  Logicians often use the word "conclusion" to refer to
040550 - a contention.
040552 -  ..
040553 - An objection is a piece of evidence against some claim.  Technically,
040554 - an objection is set of claims working together to provide evidence
040555 - that another claim is false.
040557 -  ..
040558 - A simple argument is just a contention with a single piece of reason
040559 - for it, or a contention with a single objection to it.
040560 -
040561 -    Note that all you need for a simple argument is a single piece of
040562 -    evidence bearing upon a single contention.  You don't need both a
040563 -    reason and an objection.  In other words, a simple argument is not
040564 -    a debate; it is just an elementary piece of reasoning.
040566 -     ..
040567 -    "Simple" doesn't mean small, short or obvious.  A simple argument
040568 -    might be quite technical or hard to understand.  What makes an
040569 -    argument simple is that it has just one contention and one piece of
040570 -    evidence.
040572 -     ..
040573 -    This is important because the simple argument is the basic unit of
040574 -    all reasoning.   All arguments, no matter how complex, are made up
040575 -    of simple arguments hooked up together.
040577 -  ..
040578 - A declarative sentence is one which states a proposition which can be
040579 - true or false.
040580 -
040581 -    Some kinds of sentences are not declarative; for example, questions
040582 -    don't state propositions.  Reasoning is a matter of the logical or
040583 -    evidential relationships among propositions, so you should always
040584 -    be using declarative sentences to express reasoning.
040586 -  ..
040587 - You should avoid putting reasoning in boxes. In an argument map, boxes
040588 - contain claims, not whole arguments.
040590 -  ..
040591 - The core principles of Module 2 are
040592 -
040593 -    • Every reason and objection is made up of at least two distinct
040594 -      claims, known as co-premises; and every significant term or
040595 -      concept in a simple argument must appear in at least two claims
040596 -      (co-premises or contention).
040598 -       ..
040599 -    • When mapping arguments, observing these two principles will help
040600 -      ensure that the arguments are properly structured, and that all
040601 -      important parts of the argument have been identified and put in
040602 -      their right place.
040604 -  ..
040605 - A premise is a claim which is part of a reason or an objection.
040607 -  ..
040608 - Co-premises: Two premises within a single reason or objection are
040609 - co-premises in relation to each other.
040611 -  ..
040612 - The Golden Rule: Every simple argument has at least two co-premises.
040614 -  ..
040615 - A hidden premise is a co-premise which is not actually stated when an
040616 - argument is presented.
040617 -
040618 -    If, as the Golden Rule says, every reason or objection has at least
040619 -    two co-premises, why do people usually hide some of them?  Often,
040620 -    co-premises are obvious or uncontroversial and don't really need to
040621 -    be explicitly stated.  However there are many other explanations.
040622 -    People tend to be one or more of the following...
040623 -
040624 -       • Impatient. Life is short and people want to move on to the
040625 -         next thing, whatever that is.
040627 -          ..
040628 -       • Lazy. Who could be bothered with co-premises?
040630 -          ..
040631 -       • Confused.  People are unclear about their own arguments, and
040632 -         don't really know what their co-premises are.
040634 -          ..
040635 -       • Devious.  Sometimes, people deliberately hide co-premises
040636 -         because they know or suspect that the co-premises are false,
040637 -         rendering their argument worthless.
040639 -     ..
040640 -    When people hide co-premises, they are leaving it to us, as
040641 -    listeners or readers, to fill in the gaps.  This often involves a
040642 -    lot of effort and skill.
040644 -     ..
040645 -    Since argument mapping is all about making the structure of
040646 -    reasoning explicit, if we are doing our job in a completely
040647 -    thorough way, we will identify all co-premises, which means
040648 -    identifying all hidden premises.  This is one of the biggest
040649 -    challenges in argument mapping.
040651 -     ..
040652 -    Alternative terminology
040654 -     ..
040655 -    Logicians also use various other terms for hidden premises.  Some
040656 -    you might encounter include:
040657 -
040658 -       • missing premises
040659 -
040660 -       • assumptions - that is, claims which are assumed to be true for
040661 -         the argument to work, but are not stated.
040663 -     ..
040664 -    Logicians use the term enthymeme for an argument with a hidden
040665 -    premise.  Most arguments encountered in everyday contexts are
040666 -    enthymematic.
040668 -  ..
040669 - The Rabbit Rule: every significant word, phrase or concept appearing
040670 - in the contention of a simple argument must also appear in one of the
040671 - premises.
040673 -  ..
040674 - The Holding Hands Rule: every significant word, phrase or concept
040675 - appearing in a premise of a simple argument but not in the contention
040676 - must also appear in some other premise of that simple argument.
040678 -  ..
040679 - A dangler is a significant word, term, phrase or concept which appears
040680 - only once in a simple argument, without being "tied in" by also
040681 - appearing somewhere else.
040683 -  ..
040684 - The No Danglers Rule: every significant word, phrase or concept
040685 - appearing in one claim (contention or premise) of a simple argument
040686 - must also appear in another claim.
040688 -  ..
040689 - A multi-layer argument is an argument in which there are reasons or
040690 - objections bearing upon reasons or objections.
040692 -  ..
040693 - The main contention of a multi-layer argument is the one at the top
040694 - level.  It is the only contention which is not also a premise in
040695 - another simple argument.
040697 -  ..
040698 - A rejoinder is an objection to a reason.  A rejoinder provides
040699 - evidence that a reason is not a good reason, i.e., not good evidence
040700 - for its contention.
040701 -
040702 -    There are two kinds of rejoinders.  The first kind show that one of
040703 -    the claims in the reason is not true.  The second kind show that
040704 -    the claims, even if true, don't provide good evidence for their
040705 -    contention.
040707 -     ..
040708 -    In other words, rejoinders work by providing evidence against one
040709 -    of the premises, or by providing evidence against the connection
040710 -    between the premises and their contention.
040712 -  ..
040713 - A rebuttal is an objection to an objection.  A rebuttal provides
040714 - evidence that an objection is not a good objection, i.e., not good
040715 - evidence against its contention.
040717 -  ..
040718 - A chain of reasoning is a multi-layer argument.  Usually the term is
040719 - applied to arguments with more than two layers.
040720 -
040721 -    In ordinary life, the number of layers you can expect to see has a
040722 -    lot to do with factors such as:
040723 -
040724 -       • people's attention spans, level of interest, and capacity to
040725 -         cope with complexity
040727 -          ..
040728 -       • the complexity of the domain the reasoning is concerned with,
040729 -         and the amount which is known about it.
040731 -     ..
040732 -    It is not uncommon to find arguments with six, eight or even ten
040733 -    layers, but arguments with fifteen or twenty layers are very rare.
040735 -  ..
040736 - An argument web is an argument which is both multi-reason and
040737 - multi-layer.
040739 -  ..
040740 - A premise objection is an objection to a stated premise of another
040741 - simple argument.
040743 -  ..
040744 - An inference objection is an objection to another simple argument,
040745 - providing evidence not against any stated premise but against the
040746 - relationship between the stated premises and their contention.
040747 -
040748 -    An inference objection is not aimed at any of the currently stated
040749 -    premises.  It is aimed at a premise - just one that has not yet
040750 -    been stated.
040752 -     ..
040753 -    Another way to put this point is that every objection to an
040754 -    inference is also an objection to an assumption which helps connect
040755 -    the other premise(s) to the main contention.  That assumption can
040756 -    be expressed as a claim, and then the objection can be targeted on
040757 -    that claim.
040759 -     ..
040760 -    Thus, to produce an argument map of an inference objection, follow
040761 -    these steps:
040762 -
040763 -       1. Take the reason, and articulate all its co-premises.  Follow
040764 -          the Rabbit and Holding Hands Rules to help you do this.
040766 -           ..
040767 -       2. The inference objection will now provide evidence that one of
040768 -          the co-premises is false.  Identify that co-premise, and
040769 -          attach the objection to it.
040771 -     ..
040772 -    It will appear that they are objecting to the inference rather than
040773 -    to the current premises.  In a sense that is right; that is what
040774 -    they are doing.  However you will always find that, in a properly
040775 -    articulated argument map, a previously-hidden premise will come to
040776 -    light, and the objection will provide evidence against that
040777 -    premise.
040779 -  ..
040780 - A premise rebuttal is an objection to an objection which provides
040781 - evidence that one of the stated premises of that objection is false.
040783 -  ..
040784 - An inference rebuttal is an objection to another objection which
040785 - provides evidence against the inference from the stated premises of
040786 - that other objection to the falsity of its contention.
040787 -
040788 -    Terminology: Premise objections vs Premise rebuttals
040789 -
040790 -    When should you use the term "premise objection" as opposed to
040791 -    "premise rebuttal"?  Easy:
040792 -
040793 -       • any objection to a premise is a premise objection
040795 -          ..
040796 -       • a premise objection is also a premise rebuttal if it is a
040797 -         rebuttal, i.e., an objection to an objection
040799 -  ..
040800 - In short, a premise rebuttal is an objection to an objection which
040801 - targets a premise.
040803 -  ..
040804 - Two fundamental macrostructural rules.
040805 -
040806 - The first is the Pyramid Rule, which says, roughly, that a
040807 - properly-constructed argument will be shaped like a pyramid.  It has
040808 - two main aspects:
040809 -
040810 -    1. The higher in the argument tree a reason or objection appears,
040811 -       the more general or abstract it should be.
040813 -        ..
040814 -    2. Reasons or objections at a given level in the tree should be at
040815 -       roughly the same level of generality or abstraction.
040817 -  ..
040818 - A group of considerations is all reasons and objections bearing
040819 - directly upon the main contention or any other reason or objection.
040821 -  ..
040822 - The second macrostructural rule is known by the acronym MECE, which
040823 - stands for "Mutually Exclusive, Collectively Exhaustive." It also has
040824 - two main aspects, which boil down to the simple idea that in any group
040825 - of reasons or objections, there should be no overlaps and no gaps.
040826 -
040827 -    1. Mutually exclusive (ME): Within a group, considerations should
040828 -       be genuinely distinct from each other.
040830 -        ..
040831 -    2. Collectively exhaustive (CE): Within a group, considerations
040832 -       should cover all the relevant, serious arguments; they should
040833 -       leave no gaps.
040835 -        ..
040836 -       "Collectively exhaustive" means that the group covers ALL the
040837 -       arguments.  It is an interesting question what all means here.
040838 -       Roughly, it means all relevant, serious arguments.  These
040839 -       include:
040840 -
040841 -          • any argument raised by any contributor to the debate
040843 -             ..
040844 -          • any argument that you can think of, over and above those
040845 -            raised by others.
040847 -             ..
040848 -          • arguments which are relevant even if you happen to think
040849 -            that they are pretty weak
040851 -  ..
040852 - A debate is a dispute in which the first-level reasons and objections
040853 - are themselves disputed.
040854 -
040855 -    In ordinary conversation, the term debate is often used quite
040856 -    loosely to refer to just about any argumentative disagreement.
040857 -    Here, we are giving it a more precise technical definition.  It is
040858 -    an argument structure of a certain sort.
040860 -     ..
040861 -    A debate in this sense is, roughly, where each side actually
040862 -    responds to the (top level) moves made by the other side.  It is
040863 -    not enough for you to provide your reasons to accept the conclusion
040864 -    and for me to provide my objections to it.  Rather, I must actually
040865 -    respond to your reasons - and you must respond to my objections.
040866 -    In other words, in a genuine debate, each side takes the other
040867 -    side's arguments seriously, not just their position.
040869 -     ..
040870 -    The concept of a debate is important because, all too often, people
040871 -    concentrate on mounting their own arguments, and fail to challenge
040872 -    what the other side says, even if the other side has very powerful
040873 -    arguments.
040874 -
040875 -
040876 -
040877 -
040878 -
040879 -
0409 -