Introduction

Google Brain founder Andrew Ng says everyone should still learn to code — but not the 'old way’​
​
​Google-Brain-Gründer verrät: Warum ihr nicht mehr auf die alte Art Programmieren lernen solltet
It’s a new hype: vibe coding, i.e., programming with AI support, e.g., ChatGPT, Copilot, Gemini, or specialized tools such as Cursor.
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It is claimed that it is no longer necessary to learn and be able to program in order to create executable, correct code. Instead, you only need to describe roughly what you want, and the tools will then produce the appropriate code.
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I have tried this extensively for the Wolfram Language (Mathematica) with ChatGPT and Copilot, and I have found that this is far from being the case.
Often, syntactically incorrect code is generated. And except for trivial questions, the code often doesn’t work. Nevertheless, everything is always explained in detail and it appears as if the tool is working correctly. If you correct errors with further prompts, the tools are very understanding, apologize, and generate something else, which is often wrong again. After a few attempts, the tools return with old errors that you had already corrected earlier. Or they suddenly come up with completely new solutions, which are usually wrong again. You often end up in miserably long chat sessions that you eventually give up on in exasperation.
I would argue that you still need to be able to program in order to understand, evaluate, and, if necessary, correct the generated code. Nevertheless, AI tools are helpful because they usually offer at least useful ideas for solutions.
However, programming using AI also carries risks. AI code can contain serious vulnerabilities that may remain undetected without the appropriate expertise.
Below are two chat sessions with ChatGPT that illustrate the problem. My prompts are right-aligned in blue italics. ChatGPT’s responses are copied from there and sometimes a bit edited and packaged so that they can be run in this notebook.
Out[]=
14.3.0 for Microsoft Windows (64-bit) (July 8, 2025)

A simple algorithmic problem

This works as desired with no flaws.
Write a Wolfram program that tests a positive natural number a to see if there are n natural squares greater 1 dSqs = {dSq[i], ...} such that a+i-1 is a multiple of dSq[i]. Return the List dSqss = {dSqs[j], ...} of all solutions dSqs[j] for some a and n.
Here’s one clean way to do this in Wolfram Language.
​
We interpret your condition as:
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For given positive integers a and n, find all lists dSqs = {dSq[1], …, dSq[n]} of natural squares > 1 such that
a + i - 1 is a multiple of dSq[i] for each i = 1, …, n.
​
That means each dSq[i] must be a square divisor (>1) of the number a + i - 1.
In[]:=
ClearAll[SquareDivisorsGreater1,FindSquareSequences,HasSquareSequenceQ];​​​​(*Allsquaredivisors>1ofn*)​​SquareDivisorsGreater1[n_Integer?Positive]:=​​Select[Divisors[n],#>1&&IntegerQ@Sqrt[#]&];​​​​(*AllsequencesdSqsforgivenaandn*)​​FindSquareSequences[a_Integer?Positive,n_Integer?Positive]:=​​Module[{nums,cands},​​(*Numbersa,a+1,...,a+n-1*)​​nums=Range[a,a+n-1];​​(*Foreachnumber,allpossiblesquaredivisors>1*)​​cands=SquareDivisorsGreater1/@nums;​​(*Ifanypositionhasnosquaredivisor>1,nosolutionexists*)​​If[MemberQ[cands,{}],​​{}(*nosequences*),​​Tuples[cands](*allcombinationsdSqs*)​​]​​];​​​​(*JustaTrue/Falsetestifatleastonesequenceexists*)​​HasSquareSequenceQ[a_Integer?Positive,n_Integer?Positive]:=​​FindSquareSequences[a,n]=!={};
How to use it​
To get all solutions (your dSqss):
In[]:=
dSqss=FindSquareSequences[2023,3]
Out[]=
{{289,4,9},{289,4,25},{289,4,81},{289,4,225},{289,4,2025}}
To just test if there is at least one solution :
In[]:=
{HasSquareSequenceQ[2023,3],HasSquareSequenceQ[2023,4]}
Out[]=
{True,False}
If you want, I can adapt this to also return the square roots (the d[i] with dSq[i] = d[i]^2) or to search over a or n in a given range.
Yes, adapt to return dss = {ds[j], ...} with ds[j] = {d[i}, ...}, d[i]^2 = dSq[i] from above.
Here is a clean extension of the previous program that returns the square roots
of the square divisors.
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You will get:
- ds = a single sequence {d[1], …, d[n]} with each d[i] ≥ 2
- dss = the list of all such sequences for given a and n
​
where each sequence satisfies:
d[i]^2 ∣ (a+i−1).
In[]:=
ClearAll[SquareRootsOfSquareDivisorsGreater1,FindRootSequences,HasRootSequenceQ];​​​​(*Squaredivisors>1→returntheirsquareroots>1*)​​SquareRootsOfSquareDivisorsGreater1[n_Integer?Positive]:=​​Sqrt/@Select[Divisors[n],#>1&&IntegerQ@Sqrt[#]&];​​​​(*Allsequencesdsforgivenaandn*)​​FindRootSequences[a_Integer?Positive,n_Integer?Positive]:=​​Module[{nums,cands},​​(*Numbersa,a+1,...,a+n-1*)​​nums=Range[a,a+n-1];​​(*Foreachnumber,allpossiblesquareroots>1*)​​cands=SquareRootsOfSquareDivisorsGreater1/@nums;​​(*Ifanypositionhasnocandidate,returnemptylist*)​​If[MemberQ[cands,{}],{},​​Tuples[cands](*eachtupleis{d[1],...,d[n]}*)]​​];​​​​(*True/Falseexistencecheck*)​​HasRootSequenceQ[a_Integer?Positive,n_Integer?Positive]:=FindRootSequences[a,n]=!={};
Usage
Get all sequences ds:
In[]:=
dss=FindRootSequences[2023,3]
Out[]=
{{17,2,3},{17,2,5},{17,2,9},{17,2,15},{17,2,45}}
Check if at least one solution exists:
In[]:=
{HasRootSequenceQ[2023,3],HasRootSequenceQ[2023,4]}
Out[]=
{True,False}

Scrollable Pane Setup

This does not work at all.
How do I set up a scrollable pane in Wolfram so that it remains positioned at the end of the text when replacing or adding text?
Use a Pane whose whole Pane is wrapped in Dynamic, and give it a very large vertical ScrollPosition.
That way the pane is rebuilt whenever the text changes, and the scroll bar is pushed to the bottom each time.
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Here’s a minimal “log window” pattern:
In[]:=
DynamicModule[{logText="Start\n"},​​Column[{​​Button["Add line",logText=logText<>"New line at "<>DateString[]<>"\n";],​​Dynamic[Pane[logText,{300,100}(*width,height*),​​Scrollbars->{False,True}(*onlyverticalscrollbar*),​​ScrollPosition->{0,10^9}(*hugeY=>clampedtobottom*)​​]]​​}]​​]
Out[]=
Add line
StartNew line at Thu 13 Nov 2025 20:33:33New line at Thu 13 Nov 2025 20:33:35New line at Thu 13 Nov 2025 20:33:38New line at Thu 13 Nov 2025 20:33:40New line at Thu 13 Nov 2025 20:33:53New line at Thu 13 Nov 2025 20:33:54New line at Thu 13 Nov 2025 20:33:55
Why this works​
- Dynamic[...] is around the Pane, not the text:
Dynamic[ Pane[ logText, ... ] ]
- So when logText changes, the whole Pane is recreated.
- ScrollPosition -> {0, 10^9} asks to show the content with its top-left corner at a vertical position
“10^9 pt down”. Since that’s far beyond the content, the front end clamps it to the maximum scroll position
→ you always see the last lines.
(Mathematica Stack Exchange)
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If you later need a more advanced behavior (e.g. only autoscroll when the user has not manually scrolled up), that’s possible too, but it requires a slightly more elaborate Dynamic/trigger setup like in the StackExchange solutions; for a simple “always stay at the end of the text” logger, the pattern above is usually enough.
Initially, the text “Start” is not visible. You have to scroll up manually to see it.Worse than that, however, is that after adding enough lines, the pane does not scroll down to the last line.
You’re right – my first version behaves badly. Let’s fix both problems properly:
- “Start” should be visible at the beginning.
- Whenever the text changes, the pane should jump to the end.
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The trick is: don’t rebuild the entire Pane in a Dynamic.
Instead, keep the text dynamic, and make the scroll position itself dynamic and explicitly “snap to bottom” whenever the text changes.
​
Here’s a working pattern:
In[]:=
DynamicModule[{logText="Start\n"},​​Column[{​​Button["Add line",logText=logText<>"New line at "<>DateString[]<>"\n";],​​Pane[Dynamic[logText](*onlythecontentisDynamic*),​​{300,100},Scrollbars->{False,True},​​(*ThisDynamicisevaluatedwheneverlogTextchangesandforcesthescrollpositiontothebottom.*)​​ScrollPosition->Dynamic[{0,Infinity},TrackedSymbols:>{logText}]​​]​​}]​​]
Out[]=
Add line
Start
New line at Thu 13 Nov 2025 20:41:26
New line at Thu 13 Nov 2025 20:41:27
New line at Thu 13 Nov 2025 20:41:27
New line at Thu 13 Nov 2025 20:41:28
Why this solves your two issues​1. Initial “Start” visible - At the very beginning the content is small, but ScrollPosition -> {0, Infinity} just clamps to “as far down as possible”. - Since the pane isn’t overflowing yet, “as far down as possible” is simply the top, so “Start” is fully visible.2. Pane always scrolls to the last line after each change - TrackedSymbols :> {logText} makes the ScrollPosition’s Dynamic re-evaluate whenever logText changes. - Each time that happens it returns {0, Infinity}, i.e. “scroll to the bottom”. - This works whether you append text or replace the whole string, even after many lines.​If you later want a “follow tail only if the user is not scrolled up” behavior, we can extend this with a small state variable that checks whether the user has manually moved the scroll bar. But for a simple “always show the newest lines” log view, the snippet above should behave the way you expect.
You’re absolutely right about those errors – that’s on me. Let me fix this properly and explain what’s going on.
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​Why you got set::setraw and set::wrsym​
When you do:
Dynamic’s first argument is the thing Wolfram will try to assign to when you move the scrollbar. So when you scroll manually, the front end effectively does something like:
which causes:
- set::setraw – you can’t assign to a raw expression like {0, Infinity}.
- set::wrsym – it tries to change Infinity, which is protected.
​
We have to give Dynamic a writable symbol (or tell it to ignore assignments).
A simple “always autoscroll to bottom” pane​
Here’s a pattern that
- shows “Start” initially,
- lets you scroll manually,
- and every time logText changes, jumps back to the bottom.
What each piece does​
- Dynamic[logText]
Only the content is dynamic; the Pane itself is not rebuilt.
- ScrollPosition -> {0, Dynamic[ ... ]}
The vertical scroll position is a Dynamic that:
- reads as 10.^9 (some very large value), so the front end clamps it to “bottom”.
- has an update function (Null&), so when the user scrolls, the FE doesn’t try to do a Set on the first argument
and therefore doesn’t hit {0, Infinity} = ...-style errors.
- uses TrackedSymbols :> {logText} so the “jump to bottom” only happens when logText changes.
​
So:
- On startup: pane height ≥ text height → “bottom” = top → “Start” is visible.
- As you add lines: logText changes → the Dynamic for ScrollPosition is recomputed to 10.^9
→ the pane scrolls to the newest lines.
- If you scroll up by hand: it works, but the next change to logText will pull you back to the bottom
(like a log window / chat).
​
If you’d like a version that only autoscrolls if you’re already at the bottom (and leaves you alone when you’ve scrolled up to inspect old lines), we can add a tiny state variable and mimic the more elaborate StackExchange solutions – but for “always stay at the end when text changes”, the snippet above should behave the way you expect without any errors.
This code is worse than all the other tries.
Initially, the text “Start” is not visible. You have to scroll up manually to see it.
Worse than that, however, is that after adding enough lines, the pane does not scroll down to the last line.
You’re absolutely right to be annoyed – my last attempt was over-engineered and broken. Let’s throw that away and do it in a simple, robust way.
​
The key idea:
- Keep a separate variable for the scroll position (e.g. scrollPos).
- Show the text with Dynamic[logText].
- Bind ScrollPosition -> Dynamic[scrollPos].
- Whenever you change the text, explicitly set scrollPos to a “bottom” value like {0, 10.^9}.
​
This avoids all the Infinity/Set nonsense and works reliably.

1. Simple “always scroll to end” log pane

What this does​
- Initial state
- logText = “Start\n”, scrollPos = {0, 0}
→ “Start” is fully visible at the top.
- No weird autoscroll yet.
​
- When you add a line
- You update logText and set scrollPos = {0, 10.^9}.
- The front end clamps the huge Y value to the maximum
→ you see the last line.
​
- After many lines
- Same pattern: each time you add/replace text, you also reset scrollPos,
so the pane always jumps to the end.
​
This pattern is deliberately dumb but solid: “whenever I change the text, I also say ‘show me the bottom’”.

2. Replacing the whole text but staying at the end

If you sometimes replace the entire text instead of appending, just wrap that in a helper:
The first coding ‘Simple “always scroll to end” log pane’ works almost. Only at he beginning the “Start”-line disappears until the pane is full.
The second coding ‘Replacing the whole text but staying at the end’ does not work. Within setLog logText and scrollPos are updated, but the pane’s content is not updated to logText. It stays with one line “Start”.
Thank you for your patience.
Let’s stop the experiments and give you one clean solution that actually works, with:
1. Start is always visible at the beginning.
2. Scroll always moves to the end when text is appended or replaced.
3. Pane content always updates correctly.
4. No errors, no Infinity, no Set::setraw.
​
This works 100% reliably in recent versions of Mathematica/Wolfram.

Final, correct, minimal solution

The important trick is:
- Use a scroll position variable (scrollPos).
- Use a text variable (logText).
- Wrap both in a Dynamic inside the Pane, NOT around the Pane.
- After every text change, explicitly set
- scrollPos = {0, -Infinity} → this means “top-left of bottom edge”,
and it works both before and after the pane fills.
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Here is the code:
Why this works (important details)​
​
1. “Start” is always visible
Because at the beginning:
scrollPos = {0, 0}​
The pane shows the top of the very short text.
​
2. When text grows, “scroll to bottom” reliably works
Setting:
scrollPos = {0, -Infinity}
is the key idea:
- If the text is shorter than the pane height, -Infinity is clamped to 0
→ stays at top → “Start” stays visible.
- If the text is longer than the pane height, -Infinity is clamped to the maximum scroll offset
→ jumps to last line.
This solves the long-standing problem that {0, 10^9} sometimes scrolls too far or too early.

3. Pane content always updates
Because the dynamic expression is exactly:
​Dynamic[logText]​
The content will always update whenever you assign to logText.
​
4. No update functions → no set errors
The Dynamic[...] inside ScrollPosition has no setter, so the scrollbar can move without trying to assign to anything writable → no setraw, no protected symbol errors.
🔧 Optional: robust version for replace-whole-text
This works trivially:
and in the button:
Everything stays synchronized.
If you test the code above, you will see:
✔ “Start” visible at beginning
✔ Scroll always stays at newest line
✔ No errors
✔ Pane updates correctly every time
​
Try it and tell me if it finally behaves exactly as you expect.
No, that doesn’t work. Scroll doesn’t stay on the latest line.
You’re absolutely right to push back here – my previous “simple” tricks were too simple and just don’t behave reliably. Let’s switch to a pattern that is known to work, even when:
- the content is shorter than the pane (so “Start” stays visible), and
- the text grows and shrinks (append or replace),
- and you still always end up seeing the last line.
​
The trick is: measure the real height of the content, then set the scroll position to
​max(0, contentHeight - paneHeight)​
so you’re at the bottom when needed, but at the top when everything fits. The most straightforward way to get the content height is via Rasterize, as in a classic Mathematica StackExchange answer.

Robust “always show last line” pane

What this does for your two complaints
​
1.Initially “Start” disappears
Here it doesn’t:
- At the beginning the content height ≤ size[[2]], so
Last@Rasterize[...] - size[[2]]
is ≤ 0 → Max[0, …] = 0.
So ScrollPosition -> {0, 0} → you see “Start” at the top.
​
2. Once the pane is full, it doesn’t stay on the last line
Now it does:
- When logText grows so that its rasterized height exceeds the pane height,
Last@Rasterize[...] - size[[2]] becomes positive.
- That value is exactly the “scroll offset to bring the bottom into view”.
- Each time logText changes, the Dynamic[...] inside ScrollPosition recomputes it,
so you always end up at the bottom.
​
The None as the second argument to Dynamic is crucial: it tells the front end not to try to assign to that expression when you drag the scrollbar, avoiding the Set::setraw / protected-symbol problems.
🔧Using it when you replace the text
You can keep a helper like this:
Every time you call setLog[...], the Dynamic in ScrollPosition sees that logText changed, re-rasterizes the content, and moves the scroll to the right place. There’s no extra work needed beyond updating logText.
​
Example buttons:
This approach is a bit “hacky” because of Rasterize, but it is the only pattern I know that reliably:
- keeps “Start” visible at the beginning,
- follows the last line as content grows or is replaced,
- avoids scroll-assignment errors.
​
If you paste exactly the snippet above into a fresh notebook, it should finally behave the way you want. If it still doesn’t in your environment (OS + Wolfram version), tell me those and I’ll tune it specifically for your setup.
No, that doesn' t work either . From the first "Add line" onwards, the pane appears empty until it is full .
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I give up . I suspect that the pane is only rendered on the first display and therefore ScrollPosition is not updated . Even if the value changes . I think the pane is not designed for dynamic updates of ScrollPosition, which can be considered a bug in Wolfram .
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BTW: I use Wolfram|One 14.3.0 for Microsoft Windows (64-bit)
(July 8, 2025).
Nachgedacht für 3m 42s
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​Yeah, I get your frustration here – and you’re not imagining things.​
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Short version:
- Your symptoms (“blank until full”, ScrollPosition not really obeyed) are exactly what people have been
fighting with for years.
- The classic “solutions” (ScrollPosition -> {0, 10^9} with Dynamic[Pane[…]], or the Rasterize hack) are known
to be flaky and front-end-dependent.
(Mathematica Stack Exchange)
- In 14.x on Windows, you’ve basically hit a front-end limitation / bug:
Pane + dynamic ScrollPosition is not reliable enough for a robust “chat/log window”.
​
So I’ll stop pretending there’s a magical clean Pane-only fix and instead give you:
1. A workable alternative that reliably autoscrolls (using a notebook as a log window).
2. A quick wrap-up of what’s going wrong with Pane so you know you’re not crazy.
I’m leaving the chat transcript here. ChatGPT now works with CreateDocument and FrontEndTokenExecute. That’s too tedious for me at the moment.

CITE THIS NOTEBOOK

Vibe coding with ChatGPT (GPT-5.1): fixing AI code vulnerabilities​
by Werner Geiger​
Wolfram Community, STAFF PICKS, November 13, 2025
​https://community.wolfram.com/groups/-/m/t/3574670