The Agentic Hotel at the Edge of Infinity (Paperback)
Language: English
Published by Independently Published, 2026
- Softcover
- New
Seller: CitiRetail, Stevenage, United KingdomCitiRetail
AbeBooks seller since June 29, 2022
Condition: New
£ 20.99
Quantity: 1 available
Add to basketItem description from seller
Paperback. The infinite hotel at the edge of everything has never had a vacancy. Every room is occupied. And yet - when a new guest arrives - the desk clerk always makes room. The shift is simple: every guest moves one room forward, Room 1 opens, the new guest enters. The hotel was full before. The hotel is full now. It holds one more guest than before.This is Hilbert's Hotel. It is also the operating model of every well-designed AI system."The Agentic Hotel at the Edge of Infinity" uses the mathematics of the infinite - real mathematics, real theorems - to give practitioners a rigorous framework for understanding and building agentic AI systems that scale without artificial ceilings. Author Danny Argudin, who built and operates a multi-agent AI operating system, draws on two years of applied agentic development to translate formal mathematical results into design principles that practitioners can use starting today.The framework covers fourteen interconnected ideas: - The Hilbert Shift: how to design session handoffs so context compaction is lossless in operation - because the hotel always makes room, but only if the shift is done correctly - Cantor's Diagonal: why your agent registry will always have gaps, and how to turn the fallback rate from a failure metric into an oracle for what to build next - Zeno's Convergence Proof: why the WIP limit is not a throttle on ambition but a mathematical guarantee that the queue converges - Ramsey's Theorem: why agent subgroups organize themselves as the registry grows - structure appears whether you designed it or not - Conway's Gliders: how to recognize the recurring agent-chain patterns that no one designed but that consistently produce your best outcomes - Godel's Incompleteness Theorems: why the human review gate is not just a governance requirement but an epistemic necessity - the mechanism by which your system accesses truths about itself that no formal system can derive from withinAnd the vine: the theological and philosophical context that grounds the whole framework in a tradition that says the hotel's infinite capacity is not its own property but the echo of something inexhaustible from which it was built.The mathematics in this book is real. The applications are practical. The hotel always has room - and this book shows you how to build systems that inherit that property.For practitioners building multi-agent AI systems who want a rigorous framework, not just a metaphor. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…
Seller Inventory # 9798199181884
- Title
- The Agentic Hotel at the Edge of Infinity (Paperback)
- Author
- Danny Argudin
- Publisher
- Independently Published
- Publication year
- 2026
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 13
- 9798199181884
- Series
- Book 6 of 10: The Agentic Systems Library
The infinite hotel at the edge of everything has never had a vacancy. Every room is occupied. And yet - when a new guest arrives - the desk clerk always makes room. The shift is simple: every guest moves one room forward, Room 1 opens, the new guest enters. The hotel was full before. The hotel is full now. It holds one more guest than before.
This is Hilbert's Hotel. It is also the operating model of every well-designed AI system.
"The Agentic Hotel at the Edge of Infinity" uses the mathematics of the infinite - real mathematics, real theorems - to give practitioners a rigorous framework for understanding and building agentic AI systems that scale without artificial ceilings. Author Danny Argudin, who built and operates a multi-agent AI operating system, draws on two years of applied agentic development to translate formal mathematical results into design principles that practitioners can use starting today.
The framework covers fourteen interconnected ideas:
- The Hilbert Shift: how to design session handoffs so context compaction is lossless in operation - because the hotel always makes room, but only if the shift is done correctly - Cantor's Diagonal: why your agent registry will always have gaps, and how to turn the fallback rate from a failure metric into an oracle for what to build next - Zeno's Convergence Proof: why the WIP limit is not a throttle on ambition but a mathematical guarantee that the queue converges - Ramsey's Theorem: why agent subgroups organize themselves as the registry grows - structure appears whether you designed it or not - Conway's Gliders: how to recognize the recurring agent-chain patterns that no one designed but that consistently produce your best outcomes - Godel's Incompleteness Theorems: why the human review gate is not just a governance requirement but an epistemic necessity - the mechanism by which your system accesses truths about itself that no formal system can derive from within
And the vine: the theological and philosophical context that grounds the whole framework in a tradition that says the hotel's infinite capacity is not its own property but the echo of something inexhaustible from which it was built.
The mathematics in this book is real. The applications are practical. The hotel always has room - and this book shows you how to build systems that inherit that property.
For practitioners building multi-agent AI systems who want a rigorous framework, not just a metaphor.
"Synopsis" may belong to another edition of this title.
CitiRetail
Stevenage, United Kingdom
AbeBooks seller since June 29, 2022
Shipping rates from United Kingdom to U.S.A.
| Item | 7 to 14 business days | 7 to 60 business days |
|---|---|---|
| First item | £ 37.00 | £ 37.00 |
Payment methods
Store description
Online business
Seller's business information
ABC BOOKS LIMITED
10 John Street
London, United Kingdom WC1N 2EB
Terms of sale
Orders can be returned within 30 days of receipt.
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to CitiRetail, Stevenage, United Kingdom, without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.
Shipping terms
Please note that titles are dispatched from our US, Canadian or Australian warehouses. Delivery times specified in shipping terms. Orders ship within 2 business days. Delivery to your door then takes 7-14 days.