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The golden ratio was also found in musical harmonics: when plucking a string instrument from its specified segments, musicians could create the perfect fifth, a dual resonance of notes said to be the most evocative musical relationship. Discordant tritones, on the other hand, were derided as the 'devil in music.' Such harmony of music was considered to be one and the same with that of mathematics and the universe—in the Pythagorean finite view of the cosmos (later called the Aristotelean celestial spheres model), movements of planets and other heavenly bodies generated a symphonic 'harmony of the spheres'—a celestial music that suffused the cosmic depths. From the perspective of Pythagoreans, 'all was number,' meaning ratios ruled the universe. The golden ratio’s seemingly supernatural connection to aesthetics, life, and the universe became a central tenet of Western Civilization and, later, The Catholic Church (aka The Church).ethereum рост bitcoin grant bitcoin ru forum ethereum и bitcoin bitcoin pps ethereum алгоритмы Another aspect of pools to consider is security. Some pools have excellent reputations, but others fall on the spectrum from questionably managed to outright scams. Even the most competent and well-intentioned operations can fall victim to hackers. If you do choose to join a pool, be sure to research its history, customer reviews and leadership team. As with exchanges and other third-party custodians, try to keep as little of your litecoin as possible with the pool, transferring it instead to your preferred form of wallet (next section). bitcoin торговля bitcoin пирамида bitcoin куплю miner monero bitcoin bitminer bitcoin обменник cryptocurrency analytics email bitcoin 600 bitcoin раздача bitcoin 123 bitcoin bitcoin debian

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Transaction feesPREREQUISITESplaystation bitcoin Hashing Algorithmsbitcoin 2000 As for what’s currently available, the most basic thing one can do with Bitcoin is buy products and services from anyone who accepts Bitcoin. A partial list can be found here: https://en.bitcoin.it/wiki/Trade There is also the booming illicit drug market known as Silk Road, where almost any substance imaginable can be purchased for Bitcoin. Accessing Silk Road requires further security precautions such as the use of Tor, which is beyond the scope of this article.Blockchain explained: centralized systems vs blockchain.High hash rate - You can think of hash rate as the processing power of the hardware.monero btc

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What are the Key Properties of Bitcoin?
What is Bitcoin? Many have attempted to answer this question, but I believe that our quest to do so is doomed to continue in perpetuity. The continuing development of the protocol is where the cutting edge of research into what Bitcoin is and discussion about what it should strive to be actually occurs.

It can be tricky for newcomers to wrap their head around what sort of proposals are more likely to be accepted for Bitcoin because there are plenty of unwritten rules regarding protocol changes. Some of these rules are more on the philosophical side, some are more on the engineering and security side, and some are a blend of the two.

Consensus, Not Command %story% Control
There is no authority in Bitcoin - even the principles outlined in this article are by no means authoritative, they are simply observations made by myself and other ecosystem participants.

Bitcoin is a system that automates the continual discovery of consensus amongst its participants. It is machine consensus that enforces human consensus.
Consensus failures can destroy the whole system by causing loss of confidence in its reliability.
Consensus code should be ringfenced and rarely touched.
Protocol changes should not be forced upon users without their consent. That is, users should opt into changes rather than having to opt out.
As such, software clients should not update automatically, as that would take power away from users and put it in the hands of developers.
Due to the distributed nature of the network, it should not be assumed that every user is paying attention to protocol changes.
How do we make changes to the system? In order to change the consensus code we must somehow achieve human consensus to change the rules of the system. The Bitcoin Improvement Proposal process is described here. It's not perfect, but consensus-building is a messy process.

Johnson Lau did a good job describing the different types of forks (means of making machine consensus changes) in this post and Paul Sztorc has written at length about different levels of coercion that are possible with forks.

How have changes been made historically?

By Satoshi decree
On-chain miner ‘voting’ (BIP 16)
Flag day upgrade (BIP 30)
IsSuperMajority (double threshold switchover) mechanism (BIP 34, BIP 65, BIP 66)
Version Bits (BIP 9)
Who gets to accept or reject proposed changes? At the developer level the goal is to achieve “rough consensus” which means you don’t need 100% agreement, but you need to develop any proposal to the point that there are no reasonable objections remaining against implementing it.

How do we measure support for changes to the system? Developers will discuss amongst themselves and other ecosystem participants who may be affected by a proposal. Anyone who is paying attention to ongoing development efforts is welcome to provide input via discussions on mailing lists, code repositories, social media, etc.

Ultimately, the governance of the protocol does not occur via a well-defined, top-down fashion. Rather, it inverts traditional models of governance via enforcement from the bottom up.

Trust Minimization
“Bitcoin is P2P electronic cash that is valuable over legacy systems because of the monetary autonomy it brings to its users through decentralization. Bitcoin seeks to address the root problem with conventional currency: all the trust that’s required to make it work . Not that justified trust is a bad thing, but trust makes systems brittle, opaque, and costly to operate. Trust failures result in systemic collapses, trust curation creates inequality and monopoly lock-in, and naturally arising trust choke-points can be abused to deny access to due process.

Through the use of cryptographic proof and decentralized networks Bitcoin minimizes and replaces these trust costs. With the available technology, there are fundamental trade-offs between scale and decentralization. If the system is too costly people will be forced to trust third parties rather than independently enforcing the system’s rules. If the Bitcoin blockchain’s resource usage, relative to the available technology, is too great, Bitcoin loses its competitive advantages compared to legacy systems because validation will be too costly (pricing out many users), forcing trust back into the system. If capacity is too low and our methods of transacting too inefficient, access to the chain for dispute resolution will be too costly, again pushing trust back into the system.”

- Greg Maxwell
Bitcoin developer Matt Corallo also wrote about the importance of this property:

Of Bitcoin’s many properties, trustlessness, or the ability to use Bitcoin without trusting anything but the open-source software you run, is, by far, king. More specifically, interest in Bitcoin appears to almost exclusively derive from a desire to avoid needing to trust some third party or combination of third parties. This should hardly be news to anyone, but an understanding of exactly why this trustlessness is so important (and what forms it takes) is critical to building and upgrading Bitcoin technology.
Having a requirement for minimizing trust is a fundamental property that enables many of the other principles covered in this post. These principles can be understood as coming from and working towards a low-trust aim. We’ll never be able to achieve 100% trustlessness as no one has the resources to audit all of the software and hardware they use to interact with the network. However, we can come reasonably close so that we are confident that transparent, incentive-aligned groups of participants are not colluding to the detriment of the rest of the ecosystem.

Decentralization
An open system such as Bitcoin will not retain the desired properties described in this post if it becomes sufficiently centralized such that aspects of the network can be controlled by individuals or cartels. Decentralization is the means, not the end. By distributing power as widely as possible we minimize the trust required in any single entity because we know that no single entity can interfere with our use of the system.

“A lot of people automatically dismiss e-currency as a lost cause because of all the companies that failed since the 1990's. I hope it's obvious it was only the centrally controlled nature of those systems that doomed them. I think this is the first time we're trying a decentralized, non-trust-based system.”

- Satoshi Nakamoto
There are many potential dimensions of centralization and they can be difficult to quantify:

Exchanges
Developers
Software clients
Mining pools
Mining hardware
Economically active nodes
General value ownership distribution
Percent of users who control their own private keys
Percent of users who audit the ledger with their own node
High centralization in any given metric isn’t necessarily a system killer, but we should consider that a system is only as strong as its weakest point. As such, any changes to the system should take care to avoid consolidating power along any possible axis.

Censorship Resistance
No one should have the power to prevent others from interacting with the Bitcoin network. Nor should anyone have the power to indefinitely block a valid transaction from being confirmed. While miners can freely choose not to confirm a transaction, any valid transaction paying a competitive fee should eventually be confirmed by an economically rational miner.

Pseudonymity
No official identification should be required to own or use Bitcoin. This principle strengthens the censorship resistance and fungibility of the system, as it is more difficult to select transactions to consider “tainted” when the system itself does not keep track of users. This principle can also be extended to the realization that the system does not even require its users to be human.

Open Source
Bitcoin client source code should always be open for anyone to read, modify, copy, and share. Bitcoin’s value is built upon the transparency and auditability of the system. The ability to audit any aspect of the system ensures that we need not trust any specific entities to act honestly. Ecosystem participants are incentivized to act honestly because they know they will be penalized for misbehavior. If the code being used to interact with the system can not itself be audited, then any audit functionality enabled by the code becomes worthless.

Open Collaboration
While anyone is welcome to conduct research and development privately, any attempts to make protocol changes, especially non-backwards compatible changes, should occur in the open rather than behind closed doors. Bitcoin belongs to humanity, thus it is important that proposed changes be open to public comment. The Bitcoin Improvement Proposal process is the recommended way to go about suggesting changes, though because no authority can enforce that the process be followed, it’s not a requirement.

The issue of voluntary organization and the power dynamics that result from it can result in the perception that specific people or groups are authorities, but this is an illusion of power.

Permissionless
No arbitrary gatekeepers should be able to prevent anyone from participating on the network (as a transactor, node, miner, etc). This is a result of trust minimization, censorship resistance, and pseudonymity.

Legal Indifference
Bitcoin should be unconcerned with the laws of nation states, just like other Internet protocols. Regulators will have to figure out how to respond to the functionality enabled by Bitcoin-powered technology, not the other way around.

Fungibility
Fungibility is an important property of sound money. If every user needed to perform taint analysis on all the funds they received, then the utility of the system would drop significantly.

All UTXOs should be equally spendable. Unfortunately this is not currently the case, and there are services that track “tainted” UTXOs that are tied to criminal activity. The side effect of this is that innocent users can get caught up in seizure actions due to spending UTXOs that are only several hops removed from a "tainted" UTXO.

Fungibility requires privacy; privacy comes from having a large set of users amongst whom you can’t distinguish transaction ownership. There are, unfortunately, many known threats to the privacy of Bitcoin users and as a result, Bitcoin in its current state is far from perfectly fungible.

Forward Compatibility
Bitcoin supports signing transactions without broadcasting them; there is a principle that any currently possible signed but not broadcast transactions should remain valid and broadcastable. A good example of this are transactions with nLocktime that are not valid for confirmation until after the time specified by the transaction; this could be used for inheritance or other time delayed purposes. There could be dangerous repercussions to changing this rule - an unknowable number of unbroadcast transactions could become invalid. No one wants to be responsible for destroying someone’s wealth because a rule upon which a user was relying was pulled out from underneath them.

The fact that Bitcoin has stuck to this principle gives everyone confidence in the protocol. Anyone can secure their funds by whatever scheme they dream up and deploy it without needing permission. So long as they are following the rules of the protocol, the worst that might happen is for nodes to stop relaying certain transactions by default.

Resource Minimization
In order to keep verification costs low, block space is scarce. As such, it should be expensive for anyone to consume a lot of block space. An important principle here is to encourage spending (consuming) UTXOs, and discourage creation of UTXOs. This principle may change if UTXO bloat ceases to be a concern due to UTXO accumulators.

Validation should be cheap because it supports trust minimization if more users can afford to audit the system; cheap validation also makes resource exhaustion attacks expensive. Bitcoin provides the mechanism to reject cheaply-produced invalid blocks quickly. This is the fundamental principle of hash cash — force the attacker to pay dearly in order to create spam. By first downloading the 80 byte block header, a node can obtain proof of work and perform correct and fast validation before ever syncing the block’s transactions.

We should also prioritize efficient use of block space by only storing the minimum data required for validating complex operations rather than storing and executing complex operations on the blockchain itself.

Verification > Computation
A subset of the resource minimization principle. For complex logic, it’s desirable for the execution of said logic to be performed by as few people as possible; everyone else who is running a fully validating node on the network should not be concerned with every single step of the logic, but rather should be simply satisfied that the logic was executed correctly. Correctness is more important than completeness.

‘Use the blockchain for what the blockchain is good for.’

— Andrew Poelstra
The greatest possible optimization for any system is to avoid performing computation in the first place. Blockchains are good for storing timestamped data for auditing purposes; storing a proof of computation that can be checked by anyone who cares should suffice, as opposed to requiring every participant to compute logic for transactions that don’t concern them.

Convergence
Any two Bitcoin clients, if they connect to a single honest peer, should eventually converge on the same chain tip. As an example, Bitcoin ABC broke this principle by instituting a 10 block maximum chain reorganization rule. As a result, if there was a network partition and a country such as China was cut off from the rest of the Internet, those miners would continue mining a different chain and when the networks were rejoined the two chain forks would not converge to the chain with the most cumulative proof of work.

All transaction operations must be deterministic. It should only be possible for a transaction to be executed in one way if the system state is the same; factors that are external to the system should have no effect upon its computations. Similarly, you should not have scripts that work in two different ways in two different machines. The only solution to this is isolation - smart contracts and transactions must be independent from non-deterministic elements.

Protocol changes should not create the potential for transactions to be invalidated by blockchain reorganizations. Not only should transaction operations be deterministic, they should be stateless. For example, see the OP_BLOCKNUMBER proposal made in 2010.

Several people have proposed opcodes that might render a transaction invalid after a reorg. The proposals are generally requested to be redesigned to be always forward valid using the OP_CLTV design, but sometimes that's unwanted or impractical and it's suggested that it might be acceptable to have an opcode that encumbers a transaction for a hundred blocks similar to a coinbase transaction or OP_CSV 100 blocks.

Transaction Immutability
Each additional block added to the chain after a given block should make it far less likely that the given block will be orphaned by a chain reorganization. While the protocol allows for arbitrary length chain reorganizations, long reorgs would likely be disruptive as some software or nodes may not be able to handle them gracefully. Also, reorganizations longer than 100 blocks could be additionally disruptive due to causing spent coinbase transactions to cease existing, effectively destroying value.

While there can technically be no guarantee of immutability, we can guarantee that it becomes impractically expensive to reverse a transaction after it is sufficiently buried under enough proof of work.

Denial of Service Resistance
It should not be possible for a remote peer to make a request to a Bitcoin node that consumes an inordinate amount of resources. An example of functionality that breaks this principle are the SPV bloom filters, which in adversarial conditions can be used to eat up a lot of disk I/O on a target peer by making them scan through a lot of block data. You can see many of the DoS protection rules here if you search for “misbehav” on the page. Actions that are considered harmful are giving various scores and if a peer exceeds the max misbehavior score, your node will disconnect to prevent further abuse.

Race Condition Avoidance
Race conditions occur when a system's behavior is dependent on the sequence or timing of uncontrollable events. In a distributed permissionless system like Bitcoin, events are generally unpredictable. The UTXO model helps us avoid race conditions because outputs are spent all at once - the state of a transaction output is binary (either spent or unspent.)

This is another reason why transactions should not have dependencies on the system’s state; it can create race conditions and complexity when state changes during a blockchain reorganization.

Conservatism
Money should be stable in the long run.
We should be conservative about making changes, both in order to minimize risk to the system, and to allow people to continue using the system in the way they see fit.
Users should not be expected to be highly responsive to system issues, thus we should be proactive and cautious in order to limit them!
What is conservatism really about? It’s how we ensure social scalability.

The secret to Bitcoin’s success is that its prolific resource consumption and poor computational scalability is buying something even more valuable: social scalability.

- Nick Szabo
The problem inherent to many systems operated by humans is that the rules of the system may be applied arbitrarily or may be subject to change at someone else’s whim. This results in systems being less reliable.

When we can secure the most important functionality of a financial network by computer science rather than by the traditional accountants, regulators, investigators, police, and lawyers, we go from a system that is manual, local, and of inconsistent security to one that is automated, global, and much more secure.

- Nick Szabo
Incentive Alignment
Bitcoin only works because the rules of the system create incentives for participants to be honest. Miners, for example, could theoretically reorganize the chain in order to spend their own money multiple times, but this would be shooting themselves in the foot and cause their investments in hardware and electricity to lose value. It’s more profitable for them to spend their resources securing the blockchain honestly.

Ossification
There is a general belief that over time it will become more and more difficult to make changes to the base protocol as the ecosystem grows. This is because there will be fewer and fewer changes that are uncontroversial to the wider variety of perspectives and incentives of the user base. As such, it will be more likely that improvements will have to take place in other layers built on top of Bitcoin.

Unlikely Consensus Changes
Increasing the total number of issued bitcoins beyond 21 million. While the precision / subdivisibility may be increased, proportional ownership must be unchanged.
Any rule that adds required, explicit centralization. For example, a change requiring that all blocks be signed by some central organization.
Demurrage (deletion or reassignment of coins judged to be “lost” or “unused”). It’s not possible to objectively say that the private key to a UTXO has been lost simply because it has not been spent after a certain period of time. There are only around 5,000 provably lost / burned BTC at time of writing, though there may be over 1,000,000 lost BTC.
Conflicting Principles
Fungibility (privacy) improvements that result in it becoming impossible to audit the money supply are unlikely, as degrading auditability in return for improved fungibility is a controversial trade-off.

It may be the case at some point that it will become desirable to render some UTXOs unspendable in order to protect the network, such as P2PK funds that could be vulnerable to quantum attacks. Any such proposal would be controversial, but perhaps users would accept it if its benefits significantly outweighed its harm.

Future-proof validity isn't guaranteed because the chain could be reorganized prior to the coinbase transaction in which the value was originally created. There is a 100 block coinbase maturity rule to help protect against such a scenario, and mainnet rarely sees reorganizations more than one block deep at time of writing.

Ultimately, one of the greatest causes of conflict in the Bitcoin ecosystem is the fact that it can not be everything to everyone. To do so would be Bitcoin’s downfall, as there are fundamental trade-offs between various priorities, such as:

Optimizing for low cost of full system validation vs low cost of transacting
Optimizing for a feature-rich programming language vs a small attack surface
Proceeding Together Apace
In order to enable users to continue to transact and trust in Bitcoin as they always have, the community of Bitcoin users must continue to enforce that changes happen only through consensus among the ever-broadening group. Conversely, in order to keep Bitcoin from stagnating unnecessarily, its community must be willing to form consensus around and make changes which help the system they wish to use without hurting others and make common-sense changes, whatever form they might take. Critically, this means that all changes which do not harm the utility of Bitcoin for any of its many use-cases, while helping others, should be made, wherever possible.

- Matt Corallo



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