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Einführung in die Theoretische Philosophie: Sprachphilosophie. Nathan Wildman [email protected]. Kripke’s A Puzzle About Belief. The Plan. A Quick Review of Kripke’s Objections to Descriptivism Kripke’s Positive Story Causal Theory of Reference - PowerPoint PPT Presentation
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KRIPKE’S A PUZZLE
ABOUT BELIEF
THE PLAN1. A Quick Review of Kripke’s Objections to
Descriptivism
2. Kripke’s Positive Storyi. Causal Theory of Referenceii. Rigid Designation & the Meaning of Singular Terms
3. A return to the Naïve Theory & the Six Puzzles
4. Kripke’s new Puzzle about Belief
5. Some conclusions about Singular Terms
3 + 1 DISTINCTIONSThree dimensions upon which statements can
vary:
Semantic – Analytic vs. Synthetic Epistemic – A priori vs. A posteriori Metaphysical – Necessary vs. Contingent
Two roles descriptions can play:
Fixing reference of singular terms Giving meaning of singular terms
DESCRIPTIVISM DETAILEDDescriptivist theory of proper names :
(1)Every name ‘n’ is associated with a description D that x believes is true of n
(2)Speaker x believes that D is satisfied by a unique individual
(3)If y satisfies D, then y is the referent of ‘n’ (4)If nothing satisfies D, ‘n’ doesn’t refer(5)The sentence ‘n is D’ is known a priori by x(6)The sentence ‘n is D’ as uttered by x
expresses a necessary truth
NOTE: SIMPLIFIED FOR PRESENTATION
DESCRIPTIVISM DETAILED(C) D must be chosen in such a way that there is no circularity (i.e. no use of the notion of reference)
CIR: For any theory of proper names T, if T tells us that a name n is associated with a description d that expresses a cluster of properties φ, either:
(i) φ must not include the property being called n,
(ii) φ does include the property being called n but it is possible to eliminate being called n from φ, or
(iii) T is circular
DESCRIPTIVISM DETAILEDIf φ includes the property is called the name ‘n’,
then that theory would amount to telling us that a person P has the property is called the name ‘n’
just in case S is the referent of n
Aristotle is called ‘Aristotle’ iff he’s called ‘Aristotle’
If one was determining the referent of a name like ‘Glunk’ to himself and made the following decision, ‘I shall use the
term ‘Glunk’ to refer to the man that I call ‘Glunk’,’, this would get one nowhere. One had better have some
independent determination of the referent of ‘Glunk’. [Kripke, N&N, p. 295]
MODAL OBJECTION TO (6)…it is a contingent fact that Aristotle ever did any
of the things commonly attributed to him today, any of these great achievements that we so
much admire. [Kripke N&N, p. 296]
i. If a description D gives the semantic content of a proper name n, then the proposition expressed by the sentence ‘if n exists, then n is D’ is necessary
ii. It is possible that n exists and fails to satisfy Diii. Therefore, ‘if n exists, then n is D’ is
contingentiv. Therefore, (6) is false
SEMANTIC OBJECTION TO (3)Does ‘Gödel’ refer to Gödel, or to Schmidt?
i. From (3), if a description D gives the semantic content of a proper name n, then the thing that satisfies D necessarily is the referent of ‘n’
ii. Possibly, an object a satisfies D, but is not the referent of n; instead, object b is the referent of n
iii. Therefore, what satisfies D might not be the referent of ‘n’
iv. Therefore, (3) is false
KNOWLEDGE OBJECTION TO (2), (4), & (5)(5) The sentence ‘n is D’ is known a priori by x
Even if we are competent users of the name, we’re not in a position to know the following a priori If anyone is Gödel, he discovered the incompleteness If anyone discovered incompleteness, he is Gödel
(4) If nothing satisfies D, ‘n’ doesn’t referIt seems possible that the referent of ‘n’ exists despite the fact that there is nothing satisfies D – ‘Gödel’ would still refer to Gödel, even if nobody proved the incompleteness of arithmetic!
KNOWLEDGE OBJECTION TO (2), (4), & (5)(2) Speaker x believes that D is satisfied by a
unique individual
The descriptions people actually associate with proper names simply aren’t specific enough!
F ‘Feynman’ means ‘The famous physicist’
Fails to distinguish Feynman uniquely from Einstein, Gell-Mann, Hawking, etc.
THE PLAN1. A Quick Review of Kripke’s Objections to
Descriptivism
2. Kripke’s Positive Storyi. Causal Theory of Referenceii. Rigid Designation & the Meaning of Singular Terms
3. A return to the Naïve Theory & the Six Puzzles
4. Kripke’s new Puzzle about Belief
5. Some conclusions about Singular Terms
WHERE FROM HERE?If descriptivism is wrong, two new questions:
Reference: What determines what (if anything) a name refers to? The causal theory of reference
Meaning: What is the meaning of a name? Names are rigid designators
o A reversion to Millianism (i.e. the Naïve theory)?
CAUSAL THEORY OF REFERENCEReference: What determines what (if anything)
a name refers to? It’s in virtue of our connection with other
speakers in the community, going back to the referent himself, that we refer to a certain man
Baptism: how a name first comes to refer to a thing: by ostension – point at it and say ‘I name that
‘n’’ by description – describe it (a la ‘Hesperus’)
The causal chain: after baptism, the name can be transmitted to others via suitable causal links
CAUSAL THEORY OF REFERENCE
An utterance of a proper name ‘n’ refers to x iff
i. the utterance is at the end of a sequence of utterances of ‘n’ the first member of which is an initial baptism of ‘n’ ; and
ii. every other member of which is ‘properly linked’ via a causal chain to the previous member
CAUSAL THEORY OF REFERENCEThis is my friend Harry Adamson
CAUSAL THEORY OF REFERENCE When Harry was born, his parents named him
‘Harry Adamson’. This was a baptism!
They told their friends & family, who came to use ‘Harry’ to refer to Harry in virtue of standing in a causal connection to the initial baptizer's usage
My usage of ‘Harry Adamson’: refers to Harry in virtue of my standing in a appropriate causal connection to previous proper users of ‘Harry’
You usage of ‘Harry Adamson’ refers to Harry because you’re part of the causal chain too!
CAUSAL THEORY OF REFERENCEA Potential Problem Case:
‘Madagascar’ Gareth Evans – The Causal Theory of Reference
Originally used to refer to part of mainland Africa
Marco Polo misunderstood and used the term to refer to an island off the coast of Africa
Was there a new baptism? Can there be unknowing baptisms? Does ‘Madagascar’ refer to Madagascar?
RIGID DESIGNATION
Names are rigid designators – they refer to the same thing in every possible world
Regardless of how different the object might be!
Serena Williams & The Brave Little Toaster
Adam@ & Noah@, ‘Adamwn’& ‘Noahwn’• Chisholm’s ‘Paradox’
NECESSARY A POSTERIORIThe necessary a posteriori
The ancients believed the Morning Star (Phosphorous) and the Evening Star (Hesperus) were distinct stars, though they are the planet Venus.
‘Hesperus is Phosphorous’ is a posteriori Empirical discovery of it’s truth
‘Hesperus is Phosphorous’ is necessary Names are rigid designators which necessarily co-
refer
NECESSARY A POSTERIORIPerhaps Ancients said:
P Possibly, Hesperus is not Phosphorous
S is epistemically possible for y iff y’s evidence doesn’t rule it out
S is metaphysically possible iff S might be the case
PE For all we know, Hesperus is not Phosphorus
True, depends upon available astronomical information
PM Possibly, Hesperus is not Phosphorus False, determined by rigid designation & necessity
of =
CONTINGENT A PRIORIThe contingent a priori
Suppose we fix the reference of ‘meter’ by claiming that 1 meter is the length of stick S at time t0.
It is a priori that S is 1 meter long – ‘1 meter’ is a rigid designator, the reference of which is fixed as the (actual) length of S at t0!
It is contingent that S is 1 meter long – S could have been longer or shorter than it was at t0!
THE PLAN1. A Quick Review of Kripke’s Objections to
Descriptivism
2. Kripke’s Positive Storyi. Causal Theory of Referenceii. Rigid Designation & the Meaning of Singular Terms
3. A return to the Naïve Theory & the Six Puzzles
4. Kripke’s new Puzzle about Belief
5. Some conclusions about Singular Terms
THE PUZZLES (AGAIN)
(1) Frege’s Puzzle: How can two identity statements differ in cognitive value, if the terms involved refer to the same thing?
(2) Predicational Puzzle: How can two predicational statements differ in cognitive value, if the singular terms involved refer to the same thing?
(3) Substitution Puzzle: How can a = b but ‘S believes that a is F’ not mean the same as ‘S believes that b is F’?
THE PUZZLES (AGAIN)
(4) Empty Names Puzzle: how can ‘a is F’ be meaningful when ‘a’ stands for a non-existing or fictional entity?
(5) Law of Excluded Middle: How can it be that, for any formula ϕ, (ϕ V ϕ)?
(6) Negative Existentials Puzzle: How can ‘a does not exist’ be true?
THE PUZZLESNote that (1) – (3) concern cognitive value
Meanwhile, (4) – (6) concern talk of non-existents
o It was the failure of the Naïve theory to solve the first three puzzles that pushed us towards giving it up
Kripke’s aim in A Puzzle About Belief: Show that the failure to address (1) – (3) isn’t a failure of the Naïve theory. These are puzzles, not objections!
THE PLAN1. A Quick Review of Kripke’s Objections to
Descriptivism
2. Kripke’s Positive Storyi. Causal Theory of Referenceii. Rigid Designation & the Meaning of Singular Terms
3. A return to the Naïve Theory & the Six Puzzles
4. Kripke’s new Puzzle about Belief
5. Some conclusions about Singular Terms
THE MILLIAN SPIRIT OF NAMING & NECESSITYMill on proper name: A proper name simply refers to its bearer, and has no other linguistic function
Millianism: For all names n and m, if n & m co-designate, then the semantic value of n is identical to the semantic value of m
A consequence: co-referring names are substitutable in all contexts
SUB: For all names n & m , if n & m co-designate, then the proposition expressed by ‘Φn’ = the proposition expressed by ‘Φm’
THE MILLIAN SPIRIT OF NAMING & NECESSITY
Two potential problem cases
(1)Modal Contexts – Necessarily, n is F
(2)Belief Contexts – x believes that n is F
SUB-B: For all names n & m, if n & m co-designate, then sentences of the form ⌜x believes Fn⌝
and ⌜x believes Fm⌝ have the same truth-value
(a)Necessarily, 9
is prime
(b) Necessarily, my favorite #
is prime
THE MILLIAN SPIRIT OF NAMING & NECESSITY
SUB-B is false
i. ‘Tom believes Tully denounced Catiline’ – True ii. ‘Tom believes Cicero denounced Catiline’ – False
So it seems clear that co-designative proper names are not interchangeable in belief contexts. It also seems clear that there must be two distinct propositions or contents expressed by ‘Cicero denounced Catiline’ and ‘Tully denounced Catiline’. How else can Tom believe one and deny the other? And the difference in propositions thus expressed can only come from a difference in sense between ‘Tully’ and ‘Cicero’. Such a conclusion agrees with a Fregean theory and seems to be incompatible with a purely Millian view. [Kripke, APB, p. 243]
THE MILLIAN SPIRIT OF NAMING & NECESSITY
Supports an argument for Fregean view?
1. Co-designative names are not interchangeable in belief contexts
2. Failure of interchangeability of proper names arises from a difference in the defining description the speaker associates with these names
3. Therefore, different names have different descriptions (i.e. senses) associated with them
THE MILLIAN SPIRIT OF NAMING & NECESSITY
Three Problems for ‘Fregean’ ViewI. Community-wide senses or idiolect senses?
a. Former don’t seem fine-grained enoughb. Latter give rise to problems (e.g. we can’t say,
‘Everyone knows that Aristotle was a philosopher’)II. Impoverished senses (the sense of ‘Feynman’ &
‘Gell-man’ are the same for most speakers)III. Mates' puzzle: even synonyms don't seem to be
substitutable in all belief contexts! Whoever believes that doctors are wealthy believes
that physicians are wealthy Whoever believes that doctors are wealthy believes
that doctors are wealthy
THE MILLIAN SPIRIT OF NAMING & NECESSITY
FOR Ia: After further thought, however, the Fregean conclusion appears less obvious. Just as people are said to have been unaware at one time of the fact that Hesperus is Phosphorus, so a normal speaker of English apparently may not know that Cicero is Tully, or that Holland is the Netherlands. For he may sincerely assent to ‘Cicero was lazy,’ while
dissenting from ‘Tully was lazy,’ or he may sincerely assent to ‘Holland is a beautiful country,’ while dissenting from ‘The
Netherlands is a beautiful country.’ In the case of ‘Hesperus’ and ‘Phosphorus,’ it seemed plausible to account for the parallel situation
by supposing that ‘Hesperus’ and ‘Phosphorus’ fixed their (rigid) references to a single object in two conventionally different ways, one
as the ‘evening star’ and one as the ‘morning star.’ But what corresponding conventional ‘senses,’ even taking ‘senses’ to be
‘modes of fixing the reference rigidly,’ can plausibly be supposed to exist for ‘Cicero’ and ‘Tully’ (or ‘Holland’ and ‘the Netherlands’)? Are not these just two names (in English) for the same man? Is there any
special conventional, community-wide ‘connotation’ in the one lacking in the other? I am unaware of any. [Kripke, APB]
THE MILLIAN SPIRIT OF NAMING & NECESSITY
FOR Ib:
…according to the view we are now entertaining, one cannot say, ‘Some people are unaware that Cicero is Tully.’ For, according to this view, there is no single proposition denoted by the ‘that’ clause, that
the community of normal English speakers expresses by ‘Cicero is Tully.’ Some—for example, those who define both ‘Cicero’ and ‘Tully’
as ‘the author of De Fato’—use it to express a trivial self-identity. Others use it to express the proposition that the man who satisfied
one description (say, that he denounced Catiline) is one and the same as the man who satisfied another (say, that his speech was
Greek to Cassius). There is no single fact, ‘that Cicero is Tully,’ known by some but not all members of the community.
[Kripke, APB]
THE MILLIAN SPIRIT OF NAMING & NECESSITY
Kripke isn’t trying to refute the Fregean account
Rather he is trying to show that problems about belief (and/or belief ascription) arise without invoking a Millian principle of substitution
Upshot: puzzles about belief by themselves can’t be used against the Millian account – they are genuine puzzles, rather than an objection to the Naïve view!
GENERAL PRINCIPLES Assent indicates belief: Jones assents to ‘Cicero
was bald’, so Jones believes that Cicero was bald, he assents to ‘Tully was not bald’, so Jones believes that Tully was not bald.
Disquotation principle (D):If a normal English speaker, on reflection, sincerely
assents to ‘P‘, she believes that P
Note: distinct disquotation principles for each language!
(French) disquotation principle: Si un orateur francais normal, à la reflexion consent sincerement ‘P’, puis elle croit que P
GENERAL PRINCIPLES Failure to assent indicates lack of belief – Jones
fails to assent to ‘Tully was bald’, so it is not the case that Jones believes that Tully was bald
Strengthened disquotation principle (SD)A normal English speaker (who is not reticent) will
be disposed to sincere reflective assent to ‘P’ if and only if she believes that P
GENERAL PRINCIPLES A true sentence remains true when we translate it
into another language
… of course we ordinarily allow ourselves to draw conclusions, stated in English, about the beliefs of speakers of any
language: we infer that Pierre believes that God exists from his sincere reflective assent to ‘Dieu existe.’ [Kripke, APB]
Principle of Translation (T)If a sentence P in language L expresses a truth in L, then any translation of P into any other language L*
also expresses a truth in L*
GENERAL PRINCIPLESD + Millainism entails an absurdity
(i) Jones believes that Tully was bald; &(ii) Jones believes that Tully was not bald.
SD + Millainism entails a contradiction(iii) Jones believes that Tully was bald; &(iv) It is not that case that Jones believes that Tully
was bald.
Kripke is going to derive similar undesirable results without Millianism
CASE 1: PIERRE & LONDONSuppose Pierre is a normal French speaker who lives in France and speaks not a word language except French.
He has heard the famous distant city, London (which he calls ‘Londres’) though he himself has never left France.
On the basis of what he has heard of London, he is inclined to think that it is pretty.
So he assents to the French sentence: ‘Londres est jolie.’
CASE 1: PIERRE & LONDONLater, Pierre moves to a part of London with fairly uneducated inhabitants (Highbury), so he must learn English by direct method, without using any translation
Eventually, he starts to pick up English. In particular, everyone speaks of ‘London’, where they all live.
Pierre's surroundings are unattractive, so he is inclined to assent to the English sentence:
‘London is not pretty.’
CASE 1: PIERRE & LONDON(1)Pierre sincerely assents to 'Londres est jolie'(2)Pierre croit que Londres est jolie. (By French
version of D)(3)'Pierre believes that London is pretty' is a
translation into English of the French sentence in (2)
(4)Pierre believes that London is pretty [by (2), (3), & T]
(5)Pierre sincerely assents to 'London is not pretty'(6)Pierre believes that London is not pretty (By
English version of D)(7)Pierre believes that London is pretty and believes
that London is not pretty [by (4) and (6)]
CASE 1: PIERRE & LONDON1) Pierre sincerely assents to 'Londres est jolie'2) Pierre croit que Londres est jolie. (By French
version of D)3) 'Pierre believes that London is pretty' is a
translation into English of the French sentence in 2)
4) Pierre believes that London is pretty. [by 2), 3), & T]
5) Pierre is not disposed to assent to 'London is pretty'
6) Pierre does not believe that London is pretty. (By English version of SD)
7) Pierre does and does not believe that London is pretty [by 4) and 6)]
CASE 1: PIERRE & LONDONThere are a limited number of possible responses to
this argument:
(a) Reject (3)(b) Reject Disquotation(c) Reject Translation(d) Accept (7), and endorse the argument
The puzzle is that none of the responses look acceptable
CASE 1: PIERRE & LONDONAgainst (d): We can't accept the conclusion, since Pierre is rational – we shouldn't take him to believe something and its negation
[Pierre] lacks information, not logical acumen. He cannot be convicted of inconsistency: to do so is incorrect. [Kripke, APB]
There seems to be some sense in which Pierre's beliefs are inconsistent – they can't both be true. But there's also a sense in which his view of the world is coherent
CASE 1: PIERRE & LONDONAgainst (c): we can't reject T, since the whole point of translation is to preserve meaning – if two sentences mean the same thing, then they're true under the same circumstances.
Quine might dispute this point, but perhaps we can come back to it in the very last week…
CASE 1: PIERRE & LONDONAgainst (b): We could try to reject D, but the principle does seem self-evident. Would we merely restrict it? If so, to what cases?
Suppose we refused to use D to infer from Pierre's assent to 'Londres est jolie' that Pierre believes that London is pretty.
Presumably, we'd then have to think that Pierre used to believe that London is pretty, but changed his mind.
But when did he change his mind?
CASE 1: PIERRE & LONDONAlternatively, we might think that Pierre never believed that London was pretty. But why not? Does what he believes now somehow weirdly depend depends on what happens later in his life?
▪ Suppose on the other hand that we refused to use D to infer from Pierre's assent to 'London is not pretty' that Pierre believes that London is not pretty. Why wasn't he able to acquire this belief? We'd count anyone else in a similar state of mind as believing that London is not pretty. What’s special about this case?
CASE 1: PIERRE & LONDONAgainst (a): We can't reject (3) without implausibly ruling that no sentence containing a name has a translation in any other language.
Furthermore, a similar paradox arises without (3) or T!
This brings us to Case 2: Peter & Paderewski
CASE 2: PETER & PADEREWSKISuppose Peter learns the name ‘Paderewski’ as picking out a famous pianist. This leads Peter to assent to:
‘Paderewski had musical talent’
Later, in a different context, Peter learns of someone called ‘Paderewski’ who was a Polish nationalist leader and Prime Minister. Peter is skeptical of the musical abilities of politicians so, using ‘Paderewski' as a name for the statesman, Peter assents to,
‘Paderewski had no musical talent’
CASE 2: PETER & PADEREWSKIBy two applications of D, it follows that
I. Peter believes that Paderewski had musical talent
II. Peter believes that Paderewski had no musical talent
The Question:Does or doesn't Peter believe that Paderewski had
musical talent?
This all occurs within the same language – so we can get a Puzzle-case without appeal to T or
(3)!
THE PLAN1. A Quick Review of Kripke’s Objections to
Descriptivism
2. Kripke’s Positive Storyi. Causal Theory of Referenceii. Rigid Designation & the Meaning of Singular Terms
3. A return to the Naïve Theory & the Six Puzzles
4. Kripke’s new Puzzle about Belief
5. Lessons from the Puzzle
LESSONS FROM THE PUZZLEIt is a mistake to criticize Millianism as follows:
‘Millianism implies SUB, and SUB is wrong. Suppose we have 'S believes that Tully isn't famous'
and 'S believes that Cicero is famous'. Then SUB lets us derive 'S believes that Tully is famous,’’ so we incorrectly attribute contradictory beliefs to a
normal person!
The criticism is mistaken because that result is obtainable without SUB – using just D & T we end
up incorrectly attributing contradictory beliefs!
LESSONS FROM THE PUZZLEFregean Reply:
If Millianism implies SUB and SUB results in paradox, then Millianism is wrong. Why does it
matter if some other principles also result in the same paradox?
Kripke’s Rejoinder:
They aren't just other principles – SUB is just a homophonic application of T. And since T seems
obviously true independent of Millianism, there's no reason to blame the paradox on SUB/Millianism)
LESSONS FROM THE PUZZLE
Kripke doesn't conclude that Millianism is true
But he does conclude that problems about substitution don't favour Fregeanism over Millianism
… [Cases like these] lie in an area where our normal apparatus for the ascription of belief is placed under the greatest strain and may even break down. There is even less warrant at the present time, in the absence of a better understanding of the paradoxes of this paper, for the use of alleged failures of substitutivity in belief contexts to draw any significant theoretical conclusion about proper names. [Kripke, APB]
LESSONS FROM THE PUZZLEIn other words:
the failure to address the Substitution Puzzle isn’t an objection to the Naïve theory’s account of singular terms. Rather, it’s a problem for our account of belief/belief ascriptions – a genuine puzzle to be solved!
Note: It is absolutely crucial to Kripke's conclusion that Fregeanism doesn't provide a plausible way to
deny or restrict D or T. If it did, then Kripke's path to the paradox would be blocked while the path
through SUB would still be clear, leaving Millianism wrecked…
BROADER LESSONS FROM THE PUZZLEWe‘ve spent the last few weeks looking at three
accounts of singular terms:
The Naive Theory: singular terms just refer, they don’t have any other linguistic function
Positives: Simple! Straightforward!
Negatives: Fairs badly with the puzzles given Kripke‘s APB, perhaps the failure to say
something about (1) – (3) isn‘t too bad! Of course, there‘s still (4) – (6)…
BROADER LESSONS FROM THE PUZZLEFrege’s Sense-Based Account: Motivated by the first
three puzzles (in particular, by the puzzle about identity), Frege introduced the notion of sense
Positives: Seems to have a solid answer to (1) – (3)
Something to say about (4) & (6)
Negatives: Problem with (5) [Russell’s objection]Modal, Semantic, & Knowledge
ObjectionsThree problems Kripke mentions in APB
(esp. Mates’ puzzle)
BROADER LESSONS FROM THE PUZZLERussell’s Descriptivism: motivated by a problem
with Frege’s account, Russell tried to reduce singular terms down to definite descriptions
Positives: Solid answers to (1) – (6)!No ‘creepy senses’!
Negatives: Referential uses of definite descriptionsModal, Semantic, & Knowledge
Objections
NEXT WEEKPreliminary Schedule
Week 1 (04.04): Intro to Phil-Lang Week 2 (11.04): NO CLASS Week 3 (18.04): Frege’s On Sense & Reference Week 4 (25.04): More Sense, More Reference Week 5 (02.05): Russell’s Definite Descriptions Week 6 (09.05): NO CLASS Week 7 (16.05): Problems with Definite Descriptions Week 8 (23.05): NO CLASS Week 9 (30.05): Kripke’s Causal Theory of Names Week 10 (06.06): More on the Causal Theory Week 11 (13.06): Grice on Meaning Week 12 (20.06): Austin on Speech Acts Week 13 (27.06): Grice on Logic & Conversation Week 14 (04.04): TBD Week 15 (11.07): Exam
Reference/
Singular Terms
Pragmatics &
Speech Acts
NEXT WEEKShifting topics – moving away from issues dealing
strictly with semantics and instead towards matters about pragmatics
Reading:H. P. Grice’s ‘Meaning’
Also, please bring a pen or pencil next week, as we’ll have a little practice exam…