I need to read up on LRMs.Finally, we presented some surprising results on LRMs that lead to several open questions for future
work. Most notably, we observed their limitations in performing exact computation; for example,
when we provided the solution algorithm for the Tower of Hanoi to the models, their performance
on this puzzle did not improve. Moreover, investigating the first failure move of the models revealed
surprising behaviors. For instance, they could perform up to 100 correct moves in the Tower of
Hanoi but fail to provide more than 5 correct moves in the River Crossing puzzle. We believe our
results can pave the way for future investigations into the reasoning capabilities of these systems.
Copilot's "Think Deeper" response to: How many days did this child live, who was born on March 30, 1883 and died on September 15, 1905, given that 1888, 1892, 1896, 1899, and 1904 were leap years?First, there's the possibility of a "fencepost" error: If a child is born March 30 and dies on March 31, we can correctly say the child lived one day (31-30.) However, if the child was born and died a few hours later the same day, was the lifespan zero days or one? Some calculations include the day the child was born as a full day and others do not.
...snip...
Let’s break this down step by step:
1. **From March 30, 1883, to March 30, 1905**, the child lived for **22 full years**.
- Standard years have **365 days**.
- Leap years have **366 days**.
- The leap years within this range were **1888, 1892, 1896, 1904**.
2. **Calculating Days in Full Years (1884–1904)**
- 18 regular years: \( 18 \times 365 = 6570 \)
- 4 leap years: \( 4 \times 366 = 1464 \)
3. **From March 30, 1905, to September 15, 1905**:
- March 30 to September 15 is **170 days**.
### Total Days:
\[
6570 + 1464 + 170 = 8204
\]
So, the child lived for **8,204 days**. Quite a precise lifespan to calculate!
import datetime,math,sysstart=datetime.date(1883,3,30)end=datetime.date(1905,9,15)print((end-start).days+1)
8205
The child lived 8 205 days.
Explanation:
• Counting inclusively (both the birth day and the death day are included), the span from 30 Mar 1883 through 15 Sep 1905 is 8 205 days.
(You can verify the count manually year-by-year, or—more simply—use a date‐difference calculation as shown.)
- Calculate the number of complete years between March 30, 1883 and March 30, 1905, and identify which of these years were leap years
- Calculate the number of days from March 30, 1883 to March 30, 1884 (first partial year)
- Calculate the number of days from March 30, 1905 to September 15, 1905 (final partial year)
- Sum up all the days: days from complete years (accounting for leap years) + days from first partial year + days from final partial year
from datetime import date# Birth and death datesbirth_date = date(1883, 3, 30)death_date = date(1905, 9, 15)# Calculate the differencetotal_days = (death_date - birth_date).daysprint(f"Birth date: {birth_date}")print(f"Death date: {death_date}")print(f"Total days lived: {total_days}")# Let's also verify by breaking it down year by yearprint("\nBreakdown by year:")# Given leap years in the periodleap_years = [1888, 1892, 1896, 1900, 1904] # Note: 1900 is NOT a leap year (divisible by 100 but not 400)actual_leap_years = [1888, 1892, 1896, 1904] # Corrected listcurrent_date = birth_dateyear_count = 0while current_date < death_date: next_year_date = date(current_date.year + 1, current_date.month, current_date.day) if next_year_date <= death_date: # Full year days_in_year = (next_year_date - current_date).days is_leap = current_date.year in actual_leap_years print(f"Year {current_date.year}: {days_in_year} days (leap year: {is_leap})") current_date = next_year_date year_count += 1 else: # Partial final year days_remaining = (death_date - current_date).days print(f"Final partial year {current_date.year}: {days_remaining} days") breakprint(f"\nTotal: {total_days} days")
Birth date: 1883-03-30
Death date: 1905-09-15
Total days lived: 8204
Breakdown by year:
Year 1883: 366 days (leap year: False)
Year 1884: 365 days (leap year: False)
Year 1885: 365 days (leap year: False)
Year 1886: 365 days (leap year: False)
Year 1887: 366 days (leap year: False)
Year 1888: 365 days (leap year: True)
Year 1889: 365 days (leap year: False)
Year 1890: 365 days (leap year: False)
Year 1891: 366 days (leap year: False)
Year 1892: 365 days (leap year: True)
Year 1893: 365 days (leap year: False)
Year 1894: 365 days (leap year: False)
Year 1895: 366 days (leap year: False)
Year 1896: 365 days (leap year: True)
Year 1897: 365 days (leap year: False)
Year 1898: 365 days (leap year: False)
Year 1899: 365 days (leap year: False)
Year 1900: 365 days (leap year: False)
Year 1901: 365 days (leap year: False)
Year 1902: 365 days (leap year: False)
Year 1903: 366 days (leap year: False)
Year 1904: 365 days (leap year: True)
Final partial year 1905: 169 days
Total: 8204 days
The child lived 8,204 days.
Born on March 30, 1883 and died on September 15, 1905, this spans 22 years and about 5.5 months. The calculation accounts for the leap years that occurred during this period (1888, 1892, 1896, and 1904).
Again their external behaviour fails the same way we see human external behaviour fails when presented with such puzzles.Ah back on my laptop and can now read the pdf. Interesting bit from the conclusions
I need to read up on LRMs.
Disney, you say? Suddenly I like Midjourney.Just seen someone post that Disney and Universal are suing Midjourney for copyright infringement. Good.
How fickle of you.Disney, you say? Suddenly I like Midjourney.
Nothing fickle about choosing the lesser of two evils.How fickle of you.
Yes, seriously. Do you have a serious argument that the Disney corporation is a lesser evil than genAI?That made me laugh out loud. Seriously?
GenAI art steals from artists and creators.Yes, seriously. Do you have a serious argument that the Disney corporation is a lesser evil than genAI?
Have you seen the new Star wars !?What's evil about Disney?
Yes, and that's pretty evil. I'm still siding against Disney, though.GenAI art steals from artists and creators.
If that were the only thing I was referring to, it would be a wash. I'm not going to get into the entire catalog of Disney's sins in this thread, though. Or at all, really. I authorize you to reach your own conclusions and form your own opinions.Disney and Universal will be looking for exclusive rights to drain their underpaid artists dry, all in order to train the AI things that will progressively make them even more underpaid. They are simply callous capitalist entities with no regard for artists.
Though I'm unsure if that's what theprestige was referring to.
Thank you for that link. It helps explain many of the unrealised expectations and shortcomings of AI, especially LLM, that frustrates me when reading all the fluff from the AI facilitated communication.A little more meat on the bones of Apple testing “reasoning” models. I’m uncomfortable with the use of the term “give up”.
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Apple: ‘Reasoning’ AIs fail hard if they actually have to think
Apple Machine Learning Research has a new preprint: “The Illusion of Thinking: Understanding the Strengths and Limitations of Reasoning Models via the Lens of Problem Complexity.” [Apple, PDF] “Lar…pivot-to-ai.com
New thread perhaps? I know that Disney is excessively litigious and jealous of its IP, but if there's an entire catalogue of sins, I'm curious.If that were the only thing I was referring to, it would be a wash. I'm not going to get into the entire catalog of Disney's sins in this thread, though. Or at all, really. I authorize you to reach your own conclusions and form your own opinions.