Errata for Good Math
We try to keep our books accurate, but sometimes mistakes creep in. This page lists the errors submitted by our astute readers. If you've found a new error, please submit it.
The latest version of the book is B5.0, released about 1 month ago. If you've bought a PDF of the book and would like to upgrade it to this version (for free), visit your home page.
| Paper | Description | Found in | Fixed in | |
|---|---|---|---|---|
| 5 |
#51448: For consistency in description of Equality rules, use either "=", or "is equal to" exclusively. The switch happens abruptly mid-sentence.
"...more...
|
B5.0
05-May-13 |
||
| 15 |
#51449: Remove some duplication from chapter introduction.
"But the next step in understanding numbers is looking at numbers that have non-integer ...more...
|
B5.0
05-May-13 |
||
| 39 |
#51168: "Why is a bizzare irrational number": should be spelled "bizarre"--Tom Verhoeff |
B5.0
01-Apr-13 |
||
| 105 |
#51463: Figure 11 is misnumbered. Steps 14-17 should be 13-16 to match the proof.--Ian Price |
B5.0
07-May-13 |
||
| 112 |
#51465: Definition of parent relation not given in listing, but text refers to it.
|
B5.0
07-May-13 |
||
| 113 |
#51466: cousin relation is duplicated across two listings.--Ian Price |
B5.0
07-May-13 |
||
| 120 |
#51467: Comment for partition relation is wrong. It should read "B = C + [A] + D" since A is the pivot, and B is the original list.
That said, it m...more...
|
B5.0
07-May-13 |
||
| 136 |
#51469: Can you provide an explanation of the use of ≨ in the set theory definitions? I expected an '=' or 'if' or 'iff', and this "less than but not ...more...
|
B5.0
07-May-13 |
||
| 153 |
#51480: "The easiest variation of the axiom of choice is called the well-ordering theorem." This line feels a little weird, since it is like you are i...more...
|
B5.0
08-May-13 |
||
| 160 |
#51479: "indunction rule" should be "induction rule"--Ian Price |
B5.0
08-May-13 |
||
| 172 |
#51481: Table 3 is not symmetrical. Row j, Col b = 1(mistake). Row b, Col j = h. Row c, Col e = i. Row e, Col c = space(mistake). Row d, Col g = g. Ro...more...
|
B5.0
08-May-13 |
||
| 183 |
#51483: "we cake the blocks" -> "we take the blocks"--Ian Price |
B5.0
08-May-13 |
||
| 225 |
#51208: 1st line of page 225: "Leibniz" is the correct name of Newtons co-inventor.--Dr. Frid Ruland |
B5.0
03-Apr-13 |
||
| 232 |
#51209: That would reduce our expression to (λ x y z . + (* x x) y)
5 20 4. Next, we’d reduce the outermost λ: (+ (* 5 5) 30),
which would evaluate ...more...
|
B5.0
03-Apr-13 |
||
| 236 |
#51061: "treated as if the expression were: “(λ square . square 4)(λ x . x×x)”.": the expression should be "(λ x . x*x) 4" (also note the asterisk ins...more...
|
B4.0
15-Mar-13 |
||
| 239 |
#51068: "You write functions that combine other functions in order to make it do what you want.": Does not sound right grammatically, because "it" is ...more...
|
B4.0
15-Mar-13 |
||
| 240 |
#51210: • And = λ x y . x y FALSE --> • BoolAnd = λ x y . x y FALSE--Dr. Frid Ruland |
B5.0
03-Apr-13 |
||
| 240 |
#51211: • BoolNot = λ x . x FALSE TRUE* Question on my part: what is TRUE*
|
B5.0
03-Apr-13 |
||
| 242 |
#51212: In fact, we can say in general that for any NN! = N * (N-1)!. --> In fact, we can say in general that for any N! = N * (N-1)!.--Dr. Frid Ruland |
B5.0
03-Apr-13 |
||
| 245 |
#51078: Figure 18: the two "λ y" nodes on the middle level need to be "λ x".--Tom Verhoeff |
B4.0
15-Mar-13 |
||
| 250 |
#51213: last line:
--> a function type α→ δ is a logical implication: passing--Dr. Frid Ruland |
B5.0
03-Apr-13 |
||
| 250 |
#51169: "a function type α → δis": insert a space before "is"--Tom Verhoeff |
B5.0
01-Apr-13 |
||
| 250 |
#51170: "a function type α → δis a logical implication: passing a value of type α to the function implies that the return type will be β.": The "β" sh...more...
|
B5.0
01-Apr-13 |
||
| 251 |
#51528: "but since we know that “+” is a function with type “α → α”, we can infer that the result type of this function will be “α”"
Should probabl...more...
|
B5.0
16-May-13 |
||
| 251 |
#51171: "First, we need modify": insert "to" after "need"--Tom Verhoeff |
B5.0
01-Apr-13 |
||
| 251 |
#51172: "first parameter is type α": either change "is" into "has", or insert "of" before "type"--Tom Verhoeff |
B5.0
01-Apr-13 |
||
| 251 |
#51173: "shorthand for currying. is just ...": Something is missing before "is just"--Tom Verhoeff |
B5.0
01-Apr-13 |
||
| 252 |
#51214: p. 252 and 253
the examples for the simplified version of type inference rules for
Type Invariance
Function Type Inference
Functi...more...
|
B5.0
03-Apr-13 |
||
| 252 |
#51174: Explain the notation involving "⊧" before using it in examples; also the use of + with contexts.--Tom Verhoeff |
B5.0
01-Apr-13 |
||
| 253 |
#51529: "* is a function from a number to a number, so since we’re using x as a parameter to *"
again, * is a binary operator. This should either b...more...
|
B5.0
16-May-13 |
||
| 253 |
#51175: "Example:λ x y ...": insert space after ":"--Tom Verhoeff |
B5.0
01-Apr-13 |
||
| 254 |
#51530: "Since we don’t know what type it returns, we’ll use another new type variable u, and say y: u (function type inference). By doing function ap...more...
|
B5.0
16-May-13 |
||
| 254 |
#51176: "(λ x:t y: t → u. (y x): u) t → (t → u) → u": a colon is missing after "u)"--Tom Verhoeff |
B5.0
01-Apr-13 |
||
| 255 |
#51177: "Let’s take another look at the types the simply typed lambda calculus.": insert "in" after "types" (or fix the grammar in some other way).--Tom Verhoeff |
B5.0
01-Apr-13 |
||
| 255 |
#51178: "the following grammar ...": the given grammar does not make sense.--Tom Verhoeff |
B5.0
01-Apr-13 |
||
| 257 |
#51179: "a typed LC": this seems to be the only place where the abbreviation "LC" (for Lambda Calculus" is used; write out in full.--Tom Verhoeff |
B5.0
01-Apr-13 |
||
| 263 |
#51532: "And, finally, the way that we would write that a program p doesn’t halt for input i as C(p, i) = _." Underscore should be ⊥.
|
B5.0
16-May-13 |
||
| 264 |
#51533: "Or less formally, can I write a progrm which tells" progrm -> program--Ian Price |
B5.0
16-May-13 |
||
| 264 |
#51534: "C(pair(p, i)) = _." <- should be bottom--Ian Price |
B5.0
16-May-13 |
||
| 264 |
#51535: Oracle definition uses Phi, but elsewhere you use O.--Ian Price |
B5.0
16-May-13 |

